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134372952 = 23337181491
BaseRepresentation
bin10000000001001…
…01111001011000
3100100211212001000
420000211321120
5233344413302
621200025000
73221102610
oct1000457130
9310755030
10134372952
116993942a
1239002160
1321aba02c
1413bbba40
15bbe431c
hex8025e58

134372952 has 128 divisors (see below), whose sum is σ = 429811200. Its totient is φ = 38102400.

The previous prime is 134372951. The next prime is 134372963. The reversal of 134372952 is 259273431.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134372951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273427 + ... + 273917.

It is an arithmetic number, because the mean of its divisors is an integer number (3357900).

Almost surely, 2134372952 is an apocalyptic number.

134372952 is a gapful number since it is divisible by the number (12) 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 134372952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214905600).

134372952 is an abundant number, since it is smaller than the sum of its proper divisors (295438248).

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

134372952 is a wasteful number, since it uses less digits than its factorization.

134372952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 134372952 is about 11591.9347824252. The cubic root of 134372952 is about 512.1973014820.

The spelling of 134372952 in words is "one hundred thirty-four million, three hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 181 189 216 252 362 378 491 504 543 724 756 982 1086 1267 1448 1473 1512 1629 1964 2172 2534 2946 3258 3437 3801 3928 4344 4419 4887 5068 5892 6516 6874 7602 8838 9774 10136 10311 11403 11784 13032 13257 13748 15204 17676 19548 20622 22806 26514 27496 30408 30933 34209 35352 39096 41244 45612 53028 61866 68418 82488 88871 91224 92799 106056 123732 136836 177742 185598 247464 266613 273672 355484 371196 533226 622097 710968 742392 799839 1066452 1244194 1599678 1866291 2132904 2399517 2488388 3199356 3732582 4799034 4976776 5598873 6398712 7465164 9598068 11197746 14930328 16796619 19196136 22395492 33593238 44790984 67186476 134372952