125959680 has 480 divisors, whose sum is σ = 551536128. Its totient is φ = 25804800.

The previous prime is 125959663. The next prime is 125959697. The reversal of 125959680 is 86959521.

125959680 is a `hidden beast` number, since 1 + 2 + 59 + 596 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125959663) and next prime (125959697).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774045 + ... + 1774115.

Almost surely, 2^125959680 is an apocalyptic number.

125959680 is a gapful number since it is divisible by the number (10) 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 125959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275768064).

125959680 is an abundant number, since it is smaller than the sum of its proper divisors (425576448).

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

125959680 is a wasteful number, since it uses less digits than its factorization.

125959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 125959680 is about 11223.1760210735. The cubic root of 125959680 is about 501.2763126135.

It can be divided in two parts, 125 and 959680, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 125959680 in words is "one hundred twenty-five million, nine hundred fifty-nine thousand, six hundred eighty".