125521664 has 36 divisors (see below), whose sum is σ = 256685520. Its totient is φ = 61224960.

The previous prime is 125521637. The next prime is 125521667. The reversal of 125521664 is 466125521.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 125521664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125521667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4517 + ... + 16475.

Almost surely, 2^125521664 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 125521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128342760).

125521664 is an abundant number, since it is smaller than the sum of its proper divisors (131163856).

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

125521664 is an equidigital number, since it uses as much as digits as its factorization.

125521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 12002 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 125521664 is about 11203.6451211202. The cubic root of 125521664 is about 500.6945866520.

The spelling of 125521664 in words is "one hundred twenty-five million, five hundred twenty-one thousand, six hundred sixty-four".