137439092327364 has 81 divisors (see below), whose sum is σ = 351883041635853. Its totient is φ = 45231290136864.

The previous prime is 137439092327357. The next prime is 137439092327371. The reversal of 137439092327364 is 463723290934731.

The square root of 137439092327364 is 11723442.

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

137439092327364 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 39 + 0 + 9 + 232 + 7 + 364 = 666.

It is an interprime number because it is at equal distance from previous prime (137439092327357) and next prime (137439092327371).

It can be written as a sum of positive squares in only one way, i.e., 6858375322500 + 130580717004864 = 2618850^2 + 11427192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5556899142 + ... + 5556923874.

Almost surely, 2^{137439092327364} is an apocalyptic number.

137439092327364 is the 11723442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137439092327364

137439092327364 is an abundant number, since it is smaller than the sum of its proper divisors (214443949308489).

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

137439092327364 is an frugal number, since it uses more digits than its factorization.

137439092327364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49634 (or 24817 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 137439092327364 in words is "one hundred thirty-seven trillion, four hundred thirty-nine billion, ninety-two million, three hundred twenty-seven thousand, three hundred sixty-four".