137999057290000 has 225 divisors, whose sum is σ = 338620006761267. Its totient is φ = 54464241936000.

The previous prime is 137999057289971. The next prime is 137999057290091. The reversal of 137999057290000 is 92750999731.

The square root of 137999057290000 is 11747300.

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

137999057290000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10819126091536 + 127179931198464 = 3289244^2 + 11277408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 92803669257 + ... + 92803670743.

Almost surely, 2^{137999057290000} is an apocalyptic number.

137999057290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137999057290000 is the 11747300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137999057290000

137999057290000 is an abundant number, since it is smaller than the sum of its proper divisors (200620949471267).

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

137999057290000 is an frugal number, since it uses more digits than its factorization.

137999057290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 9644670, while the sum is 61.

The spelling of 137999057290000 in words is "one hundred thirty-seven trillion, nine hundred ninety-nine billion, fifty-seven million, two hundred ninety thousand".