125508037788 has 240 divisors, whose sum is σ = 388537195200. Its totient is φ = 34607647872.

The previous prime is 125508037783. The next prime is 125508037789. The reversal of 125508037788 is 887730805521.

125508037788 is a `hidden beast` number, since 1 + 2 + 550 + 8 + 0 + 3 + 7 + 7 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125508037783) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55313118 + ... + 55315386.

It is an arithmetic number, because the mean of its divisors is an integer number (1618904980).

Almost surely, 2^125508037788 is an apocalyptic number.

125508037788 is a gapful number since it is divisible by the number (18) 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 125508037788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194268597600).

125508037788 is an abundant number, since it is smaller than the sum of its proper divisors (263029157412).

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

125508037788 is an equidigital number, since it uses as much as digits as its factorization.

125508037788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 125508037788 in words is "one hundred twenty-five billion, five hundred eight million, thirty-seven thousand, seven hundred eighty-eight".