137930935680 has 384 divisors, whose sum is σ = 485724938400. Its totient is φ = 36057415680.

The previous prime is 137930935657. The next prime is 137930935691. The reversal of 137930935680 is 86539039731.

137930935680 is a `hidden beast` number, since 1 + 3 + 79 + 3 + 0 + 9 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×137930935680³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160571091 + ... + 160571949.

Almost surely, 2^137930935680 is an apocalyptic number.

137930935680 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 137930935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242862469200).

137930935680 is an abundant number, since it is smaller than the sum of its proper divisors (347794002720).

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

137930935680 is a wasteful number, since it uses less digits than its factorization.

137930935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 137930935680 in words is "one hundred thirty-seven billion, nine hundred thirty million, nine hundred thirty-five thousand, six hundred eighty".