125485920 has 288 divisors, whose sum is σ = 500048640. Its totient is φ = 28062720.

The previous prime is 125485909. The next prime is 125485931. The reversal of 125485920 is 29584521.

125485920 is a `hidden beast` number, since 1 + 25 + 48 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125485909) and next prime (125485931).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×125485920² = 31493432236492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594615 + ... + 594825.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^125485920 is an apocalyptic number.

125485920 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 125485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250024320).

125485920 is an abundant number, since it is smaller than the sum of its proper divisors (374562720).

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

125485920 is a wasteful number, since it uses less digits than its factorization.

125485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 125485920 is about 11202.0498124227. The cubic root of 125485920 is about 500.6470556102.

The spelling of 125485920 in words is "one hundred twenty-five million, four hundred eighty-five thousand, nine hundred twenty".