137338760018970 has 96 divisors (see below), whose sum is σ = 359656887058560. Its totient is φ = 36359463358080.

The previous prime is 137338760018969. The next prime is 137338760018989. The reversal of 137338760018970 is 79810067833731.

137338760018970 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 3 + 8 + 7 + 600 + 18 + 9 + 7 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137338760018898 and 137338760018907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967164675 + ... + 967306665.

It is an arithmetic number, because the mean of its divisors is an integer number (3746425906860).

Almost surely, 2^{137338760018970} is an apocalyptic number.

137338760018970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137338760018970 is an abundant number, since it is smaller than the sum of its proper divisors (222318127039590).

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

137338760018970 is a wasteful number, since it uses less digits than its factorization.

137338760018970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219460 (or 219457 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 137338760018970 in words is "one hundred thirty-seven trillion, three hundred thirty-eight billion, seven hundred sixty million, eighteen thousand, nine hundred seventy".