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152105136 = 2437383523
BaseRepresentation
bin10010001000011…
…11000010110000
3101121012202000120
421010033002300
5302414331021
623032050240
73524605131
oct1104170260
9347182016
10152105136
117894a927
1242b33980
1325688151
14162b5c88
15d5482c6
hex910f0b0

152105136 has 80 divisors (see below), whose sum is σ = 403890816. Its totient is φ = 49310208.

The previous prime is 152105131. The next prime is 152105143. The reversal of 152105136 is 631501251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (152105131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290571 + ... + 291093.

Almost surely, 2152105136 is an apocalyptic number.

152105136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201945408).

152105136 is an abundant number, since it is smaller than the sum of its proper divisors (251785680).

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

152105136 is a wasteful number, since it uses less digits than its factorization.

152105136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 152105136 is about 12333.0910967202. The cubic root of 152105136 is about 533.8033474715.

Adding to 152105136 its reverse (631501251), we get a palindrome (783606387).

The spelling of 152105136 in words is "one hundred fifty-two million, one hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 83 146 166 219 249 292 332 438 498 523 584 664 876 996 1046 1168 1328 1569 1752 1992 2092 3138 3504 3984 4184 6059 6276 8368 12118 12552 18177 24236 25104 36354 38179 43409 48472 72708 76358 86818 96944 114537 130227 145416 152716 173636 229074 260454 290832 305432 347272 458148 520908 610864 694544 916296 1041816 1832592 2083632 3168857 6337714 9506571 12675428 19013142 25350856 38026284 50701712 76052568 152105136