137797570715841 has 81 divisors (see below), whose sum is σ = 212378171169801. Its totient is φ = 86078444626944.

The previous prime is 137797570715821. The next prime is 137797570715899. The reversal of 137797570715841 is 148517075797731.

The square root of 137797570715841 is 11738721.

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

137797570715841 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 9 + 7 + 570 + 7 + 1 + 5 + 8 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 432607437441 + 137364963278400 = 657729^2 + 11720280^2 .

It is not a de Polignac number, because 137797570715841 - 2²⁵ = 137797537161409 is a prime.

It is a super-2 number, since 2×137797570715841² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137797570715841.

It is not an unprimeable number, because it can be changed into a prime (137797570715801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 201753397486 + ... + 201753398168.

Almost surely, 2^{137797570715841} is an apocalyptic number.

137797570715841 is the 11738721-st square number.

137797570715841 is the 5869361-st centered octagonal number.

It is an amenable number.

137797570715841 is a deficient number, since it is larger than the sum of its proper divisors (74580600453960).

137797570715841 is an frugal number, since it uses more digits than its factorization.

137797570715841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 363031200, while the sum is 72.

The spelling of 137797570715841 in words is "one hundred thirty-seven trillion, seven hundred ninety-seven billion, five hundred seventy million, seven hundred fifteen thousand, eight hundred forty-one".