137436911775801 has 81 divisors (see below), whose sum is σ = 218943162229701. Its totient is φ = 83015378938800.

The previous prime is 137436911775721. The next prime is 137436911775811. The reversal of 137436911775801 is 108577119634731.

It is a happy number.

The square root of 137436911775801 is 11723349.

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

137436911775801 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 36 + 9 + 1 + 17 + 7 + 580 + 1 = 666.

It is not a de Polignac number, because 137436911775801 - 2⁷ = 137436911775673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137436911775811) 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, 217808100756 + ... + 217808101386.

Almost surely, 2^{137436911775801} is an apocalyptic number.

137436911775801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137436911775801 is the 11723349-th square number.

137436911775801 is the 5861675-th centered octagonal number.

It is an amenable number.

137436911775801 is a deficient number, since it is larger than the sum of its proper divisors (81506250453900).

137436911775801 is an frugal number, since it uses more digits than its factorization.

137436911775801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 137436911775801 in words is "one hundred thirty-seven trillion, four hundred thirty-six billion, nine hundred eleven million, seven hundred seventy-five thousand, eight hundred one".