125634816 has 108 divisors (see below), whose sum is σ = 374133760. Its totient is φ = 40504320.

The previous prime is 125634797. The next prime is 125634823. The reversal of 125634816 is 618436521.

It is a happy number.

125634816 is a `hidden beast` number, since 1 + 2 + 5 + 634 + 8 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70545 + ... + 72303.

Almost surely, 2^125634816 is an apocalyptic number.

125634816 is a gapful number since it is divisible by the number (16) 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 125634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187066880).

125634816 is an abundant number, since it is smaller than the sum of its proper divisors (248498944).

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

125634816 is a wasteful number, since it uses less digits than its factorization.

125634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1795 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 125634816 is about 11208.6937686780. The cubic root of 125634816 is about 500.8449925042.

The spelling of 125634816 in words is "one hundred twenty-five million, six hundred thirty-four thousand, eight hundred sixteen".