137114079073920 has 1728 divisors, whose sum is σ = 543846196707840. Its totient is φ = 33025012899840.

The previous prime is 137114079073903. The next prime is 137114079073949. The reversal of 137114079073920 is 29370970411731.

137114079073920 is a `hidden beast` number, since 13 + 71 + 1 + 407 + 9 + 0 + 73 + 92 + 0 = 666.

137114079073920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×137114079073920³ (a number of 43 digits) contains 333 as substring.

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 215 ways as a sum of consecutive naturals, for example, 33352972665 + ... + 33352976775.

It is an arithmetic number, because the mean of its divisors is an integer number (314725808280).

Almost surely, 2^{137114079073920} is an apocalyptic number.

137114079073920 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 137114079073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271923098353920).

137114079073920 is an abundant number, since it is smaller than the sum of its proper divisors (406732117633920).

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

137114079073920 is an frugal number, since it uses more digits than its factorization.

137114079073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 137114079073920 in words is "one hundred thirty-seven trillion, one hundred fourteen billion, seventy-nine million, seventy-three thousand, nine hundred twenty".