125619737040 has 480 divisors, whose sum is σ = 487468800000. Its totient is φ = 28397952000.

The previous prime is 125619737039. The next prime is 125619737063. The reversal of 125619737040 is 40737916521.

125619737040 is a `hidden beast` number, since 1 + 2 + 56 + 197 + 370 + 40 = 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 95 ways as a sum of consecutive naturals, for example, 251742711 + ... + 251743209.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560000).

Almost surely, 2^125619737040 is an apocalyptic number.

125619737040 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 125619737040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400000).

125619737040 is an abundant number, since it is smaller than the sum of its proper divisors (361849062960).

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

125619737040 is a wasteful number, since it uses less digits than its factorization.

125619737040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 125619737040 in words is "one hundred twenty-five billion, six hundred nineteen million, seven hundred thirty-seven thousand, forty".