137678495387904 has 81 divisors (see below), whose sum is σ = 396962667671479. Its totient is φ = 45892644057600.

The previous prime is 137678495387899. The next prime is 137678495387921. The reversal of 137678495387904 is 409783594876731.

The square root of 137678495387904 is 11733648.

It is a perfect power (a square), and thus also a powerful number.

137678495387904 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 7 + 8 + 4 + 9 + 538 + 79 + 0 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 563092879 + ... + 563337329.

Almost surely, 2^{137678495387904} is an apocalyptic number.

137678495387904 is the 11733648-th square number.

It is an amenable number.

137678495387904 is an abundant number, since it is smaller than the sum of its proper divisors (259284172283575).

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

137678495387904 is an frugal number, since it uses more digits than its factorization.

137678495387904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488924 (or 244456 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

The spelling of 137678495387904 in words is "one hundred thirty-seven trillion, six hundred seventy-eight billion, four hundred ninety-five million, three hundred eighty-seven thousand, nine hundred four".