137877799761 has 27 divisors (see below), whose sum is σ = 215677672977. Its totient is φ = 84838965120.

The previous prime is 137877799733. The next prime is 137877799771. The reversal of 137877799761 is 167997778731.

The square root of 137877799761 is 371319.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26083865025 + 111793934736 = 161505^2 + 334356^2 .

It is not a de Polignac number, because 137877799761 - 2²¹ = 137875702609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137877799761.

It is not an unprimeable number, because it can be changed into a prime (137877799721) 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, 14476681 + ... + 14486201.

Almost surely, 2^137877799761 is an apocalyptic number.

137877799761 is the 371319-th square number.

137877799761 is the 185660-th centered octagonal number.

It is an amenable number.

137877799761 is a deficient number, since it is larger than the sum of its proper divisors (77799873216).

137877799761 is an frugal number, since it uses more digits than its factorization.

137877799761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19074 (or 9537 counting only the distinct ones).

The product of its digits is 196036848, while the sum is 72.

The spelling of 137877799761 in words is "one hundred thirty-seven billion, eight hundred seventy-seven million, seven hundred ninety-nine thousand, seven hundred sixty-one".