137329657 has 4 divisors (see below), whose sum is σ = 137436516. Its totient is φ = 137222800.

The previous prime is 137329651. The next prime is 137329667. The reversal of 137329657 is 756923731.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 756923731 = 263 ⋅2878037.

It can be written as a sum of positive squares in 2 ways, for example, as 32901696 + 104427961 = 5736^2 + 10219^2 .

It is a cyclic number.

It is not a de Polignac number, because 137329657 - 2¹⁹ = 136805369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137329651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51478 + ... + 54079.

It is an arithmetic number, because the mean of its divisors is an integer number (34359129).

Almost surely, 2^137329657 is an apocalyptic number.

It is an amenable number.

137329657 is a deficient number, since it is larger than the sum of its proper divisors (106859).

137329657 is a wasteful number, since it uses less digits than its factorization.

137329657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106858.

The product of its digits is 238140, while the sum is 43.

The square root of 137329657 is about 11718.7736986427. The cubic root of 137329657 is about 515.9268282057.

The spelling of 137329657 in words is "one hundred thirty-seven million, three hundred twenty-nine thousand, six hundred fifty-seven".