125876916 has 144 divisors (see below), whose sum is σ = 367768128. Its totient is φ = 37324800.

The previous prime is 125876911. The next prime is 125876921. The reversal of 125876916 is 619678521.

125876916 is a `hidden beast` number, since 1 + 2 + 587 + 69 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (125876911) and next prime (125876921).

Its product of digits (181440) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125876911) 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 47 ways as a sum of consecutive naturals, for example, 652116 + ... + 652308.

Almost surely, 2^125876916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125876916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183884064).

125876916 is an abundant number, since it is smaller than the sum of its proper divisors (241891212).

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

125876916 is a wasteful number, since it uses less digits than its factorization.

125876916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 125876916 is about 11219.4882236223. The cubic root of 125876916 is about 501.1664977828.

It can be divided in two parts, 12587 and 6916, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 125876916 in words is "one hundred twenty-five million, eight hundred seventy-six thousand, nine hundred sixteen".