125527536 has 80 divisors (see below), whose sum is σ = 361956000. Its totient is φ = 41651712.

The previous prime is 125527531. The next prime is 125527543. The reversal of 125527536 is 635725521.

125527536 is a `hidden beast` number, since 1 + 2 + 552 + 75 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125527536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125527531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 119140 + ... + 120188.

It is an arithmetic number, because the mean of its divisors is an integer number (4524450).

Almost surely, 2^125527536 is an apocalyptic number.

125527536 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 125527536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180978000).

125527536 is an abundant number, since it is smaller than the sum of its proper divisors (236428464).

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

125527536 is a wasteful number, since it uses less digits than its factorization.

125527536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 125527536 is about 11203.9071756240. The cubic root of 125527536 is about 500.7023941562.

The spelling of 125527536 in words is "one hundred twenty-five million, five hundred twenty-seven thousand, five hundred thirty-six".