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125134912 = 2671961241
BaseRepresentation
bin1110111010101…
…10100001000000
322201110111211101
413131112201000
5224013304122
620230024144
73046425550
oct735264100
9281414741
10125134912
11646a9791
1235aa8054
131cc04236
1412895160
15aebc027
hex7756840

125134912 has 112 divisors (see below), whose sum is σ = 304881280. Its totient is φ = 49766400.

The previous prime is 125134907. The next prime is 125134939. The reversal of 125134912 is 219431521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519112 + ... + 519352.

Almost surely, 2125134912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152440640).

125134912 is an abundant number, since it is smaller than the sum of its proper divisors (179746368).

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

125134912 is a wasteful number, since it uses less digits than its factorization.

125134912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 125134912 is about 11186.3717084674. The cubic root of 125134912 is about 500.1798179899.

It can be divided in two parts, 1251 and 34912, that added together give a palindrome (36163).

The spelling of 125134912 in words is "one hundred twenty-five million, one hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 61 64 76 112 122 133 152 224 241 244 266 304 427 448 482 488 532 608 854 964 976 1064 1159 1216 1687 1708 1928 1952 2128 2318 3374 3416 3856 3904 4256 4579 4636 6748 6832 7712 8113 8512 9158 9272 13496 13664 14701 15424 16226 18316 18544 26992 27328 29402 32053 32452 36632 37088 53984 58804 64106 64904 73264 74176 102907 107968 117608 128212 129808 146528 205814 235216 256424 259616 279319 293056 411628 470432 512848 519232 558638 823256 940864 1025696 1117276 1646512 1955233 2051392 2234552 3293024 3910466 4469104 6586048 7820932 8938208 15641864 17876416 31283728 62567456 125134912