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134927232 = 27311171879
BaseRepresentation
bin10000000101011…
…01001110000000
3100101220000100220
420002231032000
5234020132412
621215543040
73225601566
oct1002551600
9311800326
10134927232
116a187910
123922aa80
1321c523cb
1413cc3a36
15bca368c
hex80ad380

134927232 has 128 divisors (see below), whose sum is σ = 414201600. Its totient is φ = 38461440.

The previous prime is 134927203. The next prime is 134927237. The reversal of 134927232 is 232729431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 134927193 and 134927202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134927237) 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, 70869 + ... + 72747.

It is an arithmetic number, because the mean of its divisors is an integer number (3235950).

Almost surely, 2134927232 is an apocalyptic number.

134927232 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 134927232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207100800).

134927232 is an abundant number, since it is smaller than the sum of its proper divisors (279274368).

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

134927232 is a wasteful number, since it uses less digits than its factorization.

134927232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1912 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 134927232 is about 11615.8181803952. The cubic root of 134927232 is about 512.9005959337.

The spelling of 134927232 in words is "one hundred thirty-four million, nine hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 1879 2112 2176 2244 2992 3264 3758 4224 4488 5637 5984 6528 7516 8976 11274 11968 15032 17952 20669 22548 23936 30064 31943 35904 41338 45096 60128 62007 63886 71808 82676 90192 95829 120256 124014 127772 165352 180384 191658 240512 248028 255544 330704 351373 360768 383316 496056 511088 661408 702746 721536 766632 992112 1022176 1054119 1322816 1405492 1533264 1984224 2044352 2108238 2645632 2810984 3066528 3968448 4088704 4216476 5621968 6133056 7936896 8432952 11243936 12266112 16865904 22487872 33731808 44975744 67463616 134927232