125509632 has 56 divisors (see below), whose sum is σ = 334737456. Its totient is φ = 41828352.

The previous prime is 125509627. The next prime is 125509663. The reversal of 125509632 is 236905521.

It is a junction number, because it is equal to n+sod(n) for n = 125509593 and 125509602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22023 + ... + 27129.

Almost surely, 2^125509632 is an apocalyptic number.

125509632 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 125509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167368728).

125509632 is an abundant number, since it is smaller than the sum of its proper divisors (209227824).

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

125509632 is an frugal number, since it uses more digits than its factorization.

125509632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 125509632 is about 11203.1081401547. The cubic root of 125509632 is about 500.6785879535.

The spelling of 125509632 in words is "one hundred twenty-five million, five hundred nine thousand, six hundred thirty-two".