125545381920 has 768 divisors, whose sum is σ = 530966016000. Its totient is φ = 27064958976.

The previous prime is 125545381891. The next prime is 125545382051. The reversal of 125545381920 is 29183545521.

125545381920 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 453 + 8 + 192 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202819371 + ... + 202819989.

It is an arithmetic number, because the mean of its divisors is an integer number (691362000).

Almost surely, 2^125545381920 is an apocalyptic number.

125545381920 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 125545381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265483008000).

125545381920 is an abundant number, since it is smaller than the sum of its proper divisors (405420634080).

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

125545381920 is a wasteful number, since it uses less digits than its factorization.

125545381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 125545381920 in words is "one hundred twenty-five billion, five hundred forty-five million, three hundred eighty-one thousand, nine hundred twenty".