125332945920 has 1584 divisors, whose sum is σ = 568559130048. Its totient is φ = 25798901760.

The previous prime is 125332945897. The next prime is 125332946021. The reversal of 125332945920 is 29549233521.

125332945920 is a `hidden beast` number, since 1 + 2 + 5 + 33 + 29 + 4 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3056901100 + ... + 3056901140.

Almost surely, 2^125332945920 is an apocalyptic number.

125332945920 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 125332945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284279565024).

125332945920 is an abundant number, since it is smaller than the sum of its proper divisors (443226184128).

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

125332945920 is an frugal number, since it uses more digits than its factorization.

125332945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 125332945920 in words is "one hundred twenty-five billion, three hundred thirty-two million, nine hundred forty-five thousand, nine hundred twenty".