125051200 has 42 divisors (see below), whose sum is σ = 307708046. Its totient is φ = 50019840.

The previous prime is 125051183. The next prime is 125051209. The reversal of 125051200 is 2150521.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 123832384 = 1104^2 + 11128^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125051209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37479 + ... + 40678.

Almost surely, 2^125051200 is an apocalyptic number.

125051200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125051200 is an abundant number, since it is smaller than the sum of its proper divisors (182656846).

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

125051200 is an equidigital number, since it uses as much as digits as its factorization.

125051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78179 (or 78164 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 125051200 is about 11182.6293866872. The cubic root of 125051200 is about 500.0682573481.

It can be divided in two parts, 1250 and 51200, that multiplied together give a 6-th power (64000000 = 20⁶).

The spelling of 125051200 in words is "one hundred twenty-five million, fifty-one thousand, two hundred".