125271600 has 60 divisors (see below), whose sum is σ = 401290536. Its totient is φ = 33405440.

The previous prime is 125271583. The next prime is 125271631. The reversal of 125271600 is 6172521.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50997 + ... + 53396.

Almost surely, 2^125271600 is an apocalyptic number.

125271600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125271600 is an abundant number, since it is smaller than the sum of its proper divisors (276018936).

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

125271600 is a wasteful number, since it uses less digits than its factorization.

125271600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104414 (or 104403 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 125271600 is about 11192.4796180292. The cubic root of 125271600 is about 500.3618713684.

The spelling of 125271600 in words is "one hundred twenty-five million, two hundred seventy-one thousand, six hundred".