125488465920 has 1152 divisors, whose sum is σ = 489387225600. Its totient is φ = 30767579136.

The previous prime is 125488465901. The next prime is 125488465937. The reversal of 125488465920 is 29564884521.

125488465920 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 8 + 8 + 46 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2669967337 + ... + 2669967383.

It is an arithmetic number, because the mean of its divisors is an integer number (424815300).

Almost surely, 2^125488465920 is an apocalyptic number.

125488465920 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 125488465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244693612800).

125488465920 is an abundant number, since it is smaller than the sum of its proper divisors (363898759680).

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

125488465920 is an equidigital number, since it uses as much as digits as its factorization.

125488465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 125488465920 in words is "one hundred twenty-five billion, four hundred eighty-eight million, four hundred sixty-five thousand, nine hundred twenty".