125038008740736 has 768 divisors, whose sum is σ = 459430010457600. Its totient is φ = 32963740508160.

The previous prime is 125038008740509. The next prime is 125038008740807. The reversal of 125038008740736 is 637047800830521.

It is a happy number.

125038008740736 is a `hidden beast` number, since 1 + 2 + 50 + 3 + 80 + 0 + 87 + 407 + 36 = 666.

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

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, 8409301110 + ... + 8409315978.

It is an arithmetic number, because the mean of its divisors is an integer number (598216159450).

Almost surely, 2^{125038008740736} is an apocalyptic number.

125038008740736 is a gapful number since it is divisible by the number (16) 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 125038008740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229715005228800).

125038008740736 is an abundant number, since it is smaller than the sum of its proper divisors (334392001716864).

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

125038008740736 is a wasteful number, since it uses less digits than its factorization.

125038008740736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17889 (or 17865 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 125038008740736 in words is "one hundred twenty-five trillion, thirty-eight billion, eight million, seven hundred forty thousand, seven hundred thirty-six".