125577312 has 48 divisors (see below), whose sum is σ = 376733952. Its totient is φ = 35879040.

The previous prime is 125577307. The next prime is 125577313. The reversal of 125577312 is 213775521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×125577312² = 31539322578290688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125577313) 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, 92764 + ... + 94107.

It is an arithmetic number, because the mean of its divisors is an integer number (7848624).

Almost surely, 2^125577312 is an apocalyptic number.

125577312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125577312 is an abundant number, since it is smaller than the sum of its proper divisors (251156640).

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

125577312 is a wasteful number, since it uses less digits than its factorization.

125577312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186891 (or 186883 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 125577312 is about 11206.1283233773. The cubic root of 125577312 is about 500.7685673365.

The spelling of 125577312 in words is "one hundred twenty-five million, five hundred seventy-seven thousand, three hundred twelve".