125407632 has 80 divisors (see below), whose sum is σ = 371976192. Its totient is φ = 35664000.

The previous prime is 125407631. The next prime is 125407637. The reversal of 125407632 is 236704521.

It is a self number, because there is not a number n which added to its sum of digits gives 125407632.

It is not an unprimeable number, because it can be changed into a prime (125407631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83593 + ... + 85079.

Almost surely, 2^125407632 is an apocalyptic number.

125407632 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 125407632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

125407632 is an abundant number, since it is smaller than the sum of its proper divisors (246568560).

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

125407632 is a wasteful number, since it uses less digits than its factorization.

125407632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 125407632 is about 11198.5549067726. The cubic root of 125407632 is about 500.5429195966.

The spelling of 125407632 in words is "one hundred twenty-five million, four hundred seven thousand, six hundred thirty-two".