125000080 has 40 divisors (see below), whose sum is σ = 291090744. Its totient is φ = 49920000.

The previous prime is 125000077. The next prime is 125000089. The reversal of 125000080 is 80000521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21123216 + 103876864 = 4596^2 + 10192^2 .

It is a sliding number, since 125000080 = 80 + 125000000 and 1/80 + 1/125000000 = 0.0125000080.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (125000089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95430 + ... + 96730.

Almost surely, 2^125000080 is an apocalyptic number.

125000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125000080 is an abundant number, since it is smaller than the sum of its proper divisors (166090664).

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

125000080 is a wasteful number, since it uses less digits than its factorization.

125000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 125000080 is about 11180.3434652071. The cubic root of 125000080 is about 500.0001066666. Note that the first 3 decimals are identical.

Subtracting from 125000080 its product of nonzero digits (80), we obtain a cube (125000000 = 500³).

It can be divided in two parts, 1250000 and 80, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 125000080 in words is "one hundred twenty-five million, eighty", and thus it is an aban number.