137276431009201 has 8 divisors (see below), whose sum is σ = 149756515903008. Its totient is φ = 124796414340000.

The previous prime is 137276431009199. The next prime is 137276431009259. The reversal of 137276431009201 is 102900134672731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137276431009201 - 2¹ = 137276431009199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137276431000201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12802860 + ... + 20939581.

It is an arithmetic number, because the mean of its divisors is an integer number (18719564487876).

Almost surely, 2^{137276431009201} is an apocalyptic number.

137276431009201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137276431009201 is a deficient number, since it is larger than the sum of its proper divisors (12480084893807).

137276431009201 is a wasteful number, since it uses less digits than its factorization.

137276431009201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34112303.

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 137276431009201 in words is "one hundred thirty-seven trillion, two hundred seventy-six billion, four hundred thirty-one million, nine thousand, two hundred one".