137314401 has 16 divisors (see below), whose sum is σ = 213694464. Its totient is φ = 76795344.

The previous prime is 137314339. The next prime is 137314421. The reversal of 137314401 is 104413731.

It is not a de Polignac number, because 137314401 - 2¹¹ = 137312353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137314421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68575 + ... + 70548.

It is an arithmetic number, because the mean of its divisors is an integer number (13355904).

Almost surely, 2^137314401 is an apocalyptic number.

It is an amenable number.

137314401 is a deficient number, since it is larger than the sum of its proper divisors (76380063).

137314401 is a wasteful number, since it uses less digits than its factorization.

137314401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139180.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 137314401 is about 11718.1227592136. The cubic root of 137314401 is about 515.9077226672.

The spelling of 137314401 in words is "one hundred thirty-seven million, three hundred fourteen thousand, four hundred one".