125001536 has 56 divisors (see below), whose sum is σ = 271905984. Its totient is φ = 56545280.

The previous prime is 125001523. The next prime is 125001553. The reversal of 125001536 is 635100521.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248261 + ... + 248763.

It is an arithmetic number, because the mean of its divisors is an integer number (4855464).

Almost surely, 2^125001536 is an apocalyptic number.

125001536 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 125001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135952992).

125001536 is an abundant number, since it is smaller than the sum of its proper divisors (146904448).

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

125001536 is a wasteful number, since it uses less digits than its factorization.

125001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 125001536 is about 11180.4085792962. The cubic root of 125001536 is about 500.0020479916.

The spelling of 125001536 in words is "one hundred twenty-five million, one thousand, five hundred thirty-six".