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149152356 = 22321719101127
BaseRepresentation
bin10001110001111…
…10001001100100
3101101122201120100
420320332021210
5301140333411
622444504100
73460526343
oct1070761144
9341581510
10149152356
1177213411
1241b4b030
1324b93142
1415b47b5a
15d163456
hex8e3e264

149152356 has 144 divisors (see below), whose sum is σ = 427714560. Its totient is φ = 43545600.

The previous prime is 149152349. The next prime is 149152357. The reversal of 149152356 is 653251941.

149152356 is a nontrivial binomial coefficient, being equal to C(17272, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149152356.

It is not an unprimeable number, because it can be changed into a prime (149152357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174365 + ... + 1174491.

It is an arithmetic number, because the mean of its divisors is an integer number (2970240).

Almost surely, 2149152356 is an apocalyptic number.

149152356 is the 17271-st triangular number and also the 8636-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149152356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

149152356 is an abundant number, since it is smaller than the sum of its proper divisors (278562204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149152356 is a wasteful number, since it uses less digits than its factorization.

149152356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 149152356 is about 12212.7947661459. The cubic root of 149152356 is about 530.3265532364.

It can be divided in two parts, 14915 and 2356, that added together give a palindrome (17271).

The spelling of 149152356 in words is "one hundred forty-nine million, one hundred fifty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 101 102 114 127 153 171 202 204 228 254 303 306 323 342 381 404 508 606 612 646 684 762 909 969 1143 1212 1292 1524 1717 1818 1919 1938 2159 2286 2413 2907 3434 3636 3838 3876 4318 4572 4826 5151 5757 5814 6477 6868 7239 7676 8636 9652 10302 11514 11628 12827 12954 14478 15453 17271 19431 20604 21717 23028 25654 25908 28956 30906 32623 34542 38481 38862 41021 43434 51308 61812 65246 69084 76962 77724 82042 86868 97869 115443 123063 130492 153924 164084 195738 218059 230886 243713 246126 293607 369189 391476 436118 461772 487426 492252 587214 654177 731139 738378 872236 974852 1174428 1308354 1462278 1476756 1962531 2193417 2616708 2924556 3925062 4143121 4386834 7850124 8286242 8773668 12429363 16572484 24858726 37288089 49717452 74576178 149152356