137262400211137 has 4 divisors (see below), whose sum is σ = 140972194811476. Its totient is φ = 133552605610800.

The previous prime is 137262400211129. The next prime is 137262400211141. The reversal of 137262400211137 is 731112004262731.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 68191657214976 + 69070742996161 = 8257824^2 + 8310881^2 .

It is a cyclic number.

It is not a de Polignac number, because 137262400211137 - 2³ = 137262400211129 is a prime.

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 137262400211137.

It is not an unprimeable number, because it can be changed into a prime (137262400211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1854897300114 + ... + 1854897300187.

It is an arithmetic number, because the mean of its divisors is an integer number (35243048702869).

Almost surely, 2^{137262400211137} is an apocalyptic number.

It is an amenable number.

137262400211137 is a deficient number, since it is larger than the sum of its proper divisors (3709794600339).

137262400211137 is an equidigital number, since it uses as much as digits as its factorization.

137262400211137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709794600338.

The product of its (nonzero) digits is 84672, while the sum is 40.

Adding to 137262400211137 its reverse (731112004262731), we get a palindrome (868374404473868).

The spelling of 137262400211137 in words is "one hundred thirty-seven trillion, two hundred sixty-two billion, four hundred million, two hundred eleven thousand, one hundred thirty-seven".