125372016 has 160 divisors (see below), whose sum is σ = 448780800. Its totient is φ = 32555520.

The previous prime is 125371999. The next prime is 125372099. The reversal of 125372016 is 610273521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31380 + ... + 35148.

It is an arithmetic number, because the mean of its divisors is an integer number (2804880).

Almost surely, 2^125372016 is an apocalyptic number.

125372016 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 125372016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224390400).

125372016 is an abundant number, since it is smaller than the sum of its proper divisors (323408784).

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

125372016 is a wasteful number, since it uses less digits than its factorization.

125372016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 125372016 is about 11196.9645886731. The cubic root of 125372016 is about 500.4955300710.

It can be divided in two parts, 1253720 and 16, that added together give a triangular number (1253736 = T₁₅₈₃).

The spelling of 125372016 in words is "one hundred twenty-five million, three hundred seventy-two thousand, sixteen".