137885968900 has 81 divisors (see below), whose sum is σ = 304067558613. Its totient is φ = 54273592800.

The previous prime is 137885968889. The next prime is 137885968919. The reversal of 137885968900 is 9869588731.

The square root of 137885968900 is 371330.

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., 49638948804 + 88247020096 = 222798^2 + 297064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 263644039 + ... + 263644561.

Almost surely, 2^137885968900 is an apocalyptic number.

137885968900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137885968900 is the 371330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137885968900

137885968900 is an abundant number, since it is smaller than the sum of its proper divisors (166181589713).

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

137885968900 is an frugal number, since it uses more digits than its factorization.

137885968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 64.

Multiplying 137885968900 by its sum of digits (64), we get a square (8824702009600 = 2970640²).

The spelling of 137885968900 in words is "one hundred thirty-seven billion, eight hundred eighty-five million, nine hundred sixty-eight thousand, nine hundred".