125641632 has 48 divisors (see below), whose sum is σ = 330456672. Its totient is φ = 41798400.

The previous prime is 125641619. The next prime is 125641673. The reversal of 125641632 is 236146521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 125641632.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66363 + ... + 68229.

It is an arithmetic number, because the mean of its divisors is an integer number (6884514).

Almost surely, 2^125641632 is an apocalyptic number.

125641632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125641632 is an abundant number, since it is smaller than the sum of its proper divisors (204815040).

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

125641632 is a wasteful number, since it uses less digits than its factorization.

125641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2573 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 125641632 is about 11208.9978142562. The cubic root of 125641632 is about 500.8540497010.

It can be divided in two parts, 12564 and 1632, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 125641632 in words is "one hundred twenty-five million, six hundred forty-one thousand, six hundred thirty-two".