125269632 has 128 divisors (see below), whose sum is σ = 375931200. Its totient is φ = 41057280.

The previous prime is 125269609. The next prime is 125269633. The reversal of 125269632 is 236962521.

125269632 is a `hidden beast` number, since 12 + 5 + 2 + 6 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (125269633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231282 + ... + 231822.

Almost surely, 2^125269632 is an apocalyptic number.

125269632 is a gapful number since it is divisible by the number (12) 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 125269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187965600).

125269632 is an abundant number, since it is smaller than the sum of its proper divisors (250661568).

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

125269632 is an equidigital number, since it uses as much as digits as its factorization.

125269632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 613 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 125269632 is about 11192.3917015087. The cubic root of 125269632 is about 500.3592511487.

The spelling of 125269632 in words is "one hundred twenty-five million, two hundred sixty-nine thousand, six hundred thirty-two".