137859769476900 has 81 divisors (see below), whose sum is σ = 432114892632241. Its totient is φ = 36762511262880.

The previous prime is 137859769476827. The next prime is 137859769476907. The reversal of 137859769476900 is 9674967958731.

The square root of 137859769476900 is 11741370.

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

137859769476900 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 59 + 7 + 6 + 9 + 476 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49629517011684 + 88230252465216 = 7044822^2 + 9393096^2 .

It is a super-2 number, since 2×137859769476900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137859769476900.

It is not an unprimeable number, because it can be changed into a prime (137859769476907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 352045411 + ... + 352436789.

Almost surely, 2^{137859769476900} is an apocalyptic number.

137859769476900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137859769476900 is the 11741370-th square number.

It is an amenable number.

137859769476900 is an abundant number, since it is smaller than the sum of its proper divisors (294255123155341).

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

137859769476900 is an frugal number, since it uses more digits than its factorization.

137859769476900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782778 (or 391389 counting only the distinct ones).

The product of its (nonzero) digits is 4320812160, while the sum is 81.

The spelling of 137859769476900 in words is "one hundred thirty-seven trillion, eight hundred fifty-nine billion, seven hundred sixty-nine million, four hundred seventy-six thousand, nine hundred".