125464920 has 128 divisors (see below), whose sum is σ = 440778240. Its totient is φ = 27970560.

The previous prime is 125464919. The next prime is 125464973. The reversal of 125464920 is 29464521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32619 + ... + 36261.

It is an arithmetic number, because the mean of its divisors is an integer number (3443580).

Almost surely, 2^125464920 is an apocalyptic number.

125464920 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 125464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220389120).

125464920 is an abundant number, since it is smaller than the sum of its proper divisors (315313320).

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

125464920 is a wasteful number, since it uses less digits than its factorization.

125464920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 125464920 is about 11201.1124447530. The cubic root of 125464920 is about 500.6191263820.

The spelling of 125464920 in words is "one hundred twenty-five million, four hundred sixty-four thousand, nine hundred twenty".