138418652736 has 840 divisors, whose sum is σ = 519160694976. Its totient is φ = 36142848000.

The previous prime is 138418652683. The next prime is 138418652737. The reversal of 138418652736 is 637256814831.

138418652736 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 1 + 86 + 527 + 36 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (138418652737) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 551468611 + ... + 551468861.

Almost surely, 2^138418652736 is an apocalyptic number.

138418652736 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 138418652736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259580347488).

138418652736 is an abundant number, since it is smaller than the sum of its proper divisors (380742042240).

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

138418652736 is a wasteful number, since it uses less digits than its factorization.

138418652736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 138418652736 in words is "one hundred thirty-eight billion, four hundred eighteen million, six hundred fifty-two thousand, seven hundred thirty-six".