738125136 has 240 divisors, whose sum is σ = 2517866624. Its totient is φ = 204913152.

The previous prime is 738125123. The next prime is 738125147. The reversal of 738125136 is 631521837.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 738125136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006626 + ... + 1007358.

Almost surely, 2^738125136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738125136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258933312).

738125136 is an abundant number, since it is smaller than the sum of its proper divisors (1779741488).

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

738125136 is a wasteful number, since it uses less digits than its factorization.

738125136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 782 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 738125136 is about 27168.4584766968. The cubic root of 738125136 is about 903.7396396946.

The spelling of 738125136 in words is "seven hundred thirty-eight million, one hundred twenty-five thousand, one hundred thirty-six".