138702497472 has 840 divisors, whose sum is σ = 533679928320. Its totient is φ = 34830259200.

The previous prime is 138702497447. The next prime is 138702497491. The reversal of 138702497472 is 274794207831.

138702497472 is a `hidden beast` number, since 1 + 3 + 87 + 0 + 2 + 4 + 97 + 472 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 136115779 + ... + 136116797.

It is an arithmetic number, because the mean of its divisors is an integer number (635333248).

Almost surely, 2^138702497472 is an apocalyptic number.

138702497472 is a gapful number since it is divisible by the number (12) 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 138702497472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266839964160).

138702497472 is an abundant number, since it is smaller than the sum of its proper divisors (394977430848).

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

138702497472 is a wasteful number, since it uses less digits than its factorization.

138702497472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 138702497472 in words is "one hundred thirty-eight billion, seven hundred two million, four hundred ninety-seven thousand, four hundred seventy-two".