137385870336 has 891 divisors, whose sum is σ = 490297642653. Its totient is φ = 38429614080.

The previous prime is 137385870317. The next prime is 137385870383. The reversal of 137385870336 is 633078583731.

The square root of 137385870336 is 370656.

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

It can be written as a sum of positive squares in only one way, i.e., 20323353600 + 117062516736 = 142560^2 + 342144^2 .

It is a tau number, because it is divible by the number of its divisors (891).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 80 ways as a sum of consecutive naturals, for example, 10568143866 + ... + 10568143878.

Almost surely, 2^137385870336 is an apocalyptic number.

137385870336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137385870336 is the 370656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137385870336

137385870336 is an abundant number, since it is smaller than the sum of its proper divisors (352911772317).

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

137385870336 is an frugal number, since it uses more digits than its factorization.

137385870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 137385870336 in words is "one hundred thirty-seven billion, three hundred eighty-five million, eight hundred seventy thousand, three hundred thirty-six".