138312437760000 has 3200 divisors, whose sum is σ = 606034247712960. Its totient is φ = 30767579136000.

The previous prime is 138312437759983. The next prime is 138312437760019. The reversal of 138312437760000 is 67734213831.

138312437760000 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 1 + 2 + 4 + 37 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×138312437760000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 499322879862 + ... + 499322880138.

Almost surely, 2^{138312437760000} is an apocalyptic number.

138312437760000 is a gapful number since it is divisible by the number (10) 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 138312437760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303017123856480).

138312437760000 is an abundant number, since it is smaller than the sum of its proper divisors (467721809952960).

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

138312437760000 is an frugal number, since it uses more digits than its factorization.

138312437760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 138312437760000 in words is "one hundred thirty-eight trillion, three hundred twelve billion, four hundred thirty-seven million, seven hundred sixty thousand".