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125752146 = 231319531601
BaseRepresentation
bin1110111111011…
…01001101010010
322202121212111220
413133231031102
5224143032041
620251145510
73054606222
oct737551522
9282555456
10125752146
1164a904a3
1236145296
132008c170
14129b6082
15b08ed66
hex77ed352

125752146 has 64 divisors (see below), whose sum is σ = 290666880. Its totient is φ = 35942400.

The previous prime is 125752139. The next prime is 125752177. The reversal of 125752146 is 641257521.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77746 + ... + 79346.

It is an arithmetic number, because the mean of its divisors is an integer number (4541670).

Almost surely, 2125752146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125752146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145333440).

125752146 is an abundant number, since it is smaller than the sum of its proper divisors (164914734).

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

125752146 is a wasteful number, since it uses less digits than its factorization.

125752146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691.

The product of its digits is 16800, while the sum is 33.

The square root of 125752146 is about 11213.9264310053. The cubic root of 125752146 is about 501.0008565688. Note that the first 3 decimals are identical.

The spelling of 125752146 in words is "one hundred twenty-five million, seven hundred fifty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 19 26 38 39 53 57 78 106 114 159 247 318 494 689 741 1007 1378 1482 1601 2014 2067 3021 3202 4134 4803 6042 9606 13091 20813 26182 30419 39273 41626 60838 62439 78546 84853 91257 124878 169706 182514 254559 395447 509118 790894 1103089 1186341 1612207 2206178 2372682 3224414 3309267 4836621 6618534 9673242 20958691 41917382 62876073 125752146