125544491520 has 480 divisors, whose sum is σ = 470219904000. Its totient is φ = 28490563584.

The previous prime is 125544491459. The next prime is 125544491533. The reversal of 125544491520 is 25194445521.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×125544491520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 56070561 + ... + 56072799.

It is an arithmetic number, because the mean of its divisors is an integer number (979624800).

Almost surely, 2^125544491520 is an apocalyptic number.

125544491520 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 125544491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235109952000).

125544491520 is an abundant number, since it is smaller than the sum of its proper divisors (344675412480).

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

125544491520 is a wasteful number, since it uses less digits than its factorization.

125544491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 125544491520 in words is "one hundred twenty-five billion, five hundred forty-four million, four hundred ninety-one thousand, five hundred twenty".