137958016329 has 81 divisors (see below), whose sum is σ = 242639296263. Its totient is φ = 75307567104.

The previous prime is 137958016309. The next prime is 137958016337. The reversal of 137958016329 is 923610859731.

The square root of 137958016329 is 371427.

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

137958016329 is a `hidden beast` number, since 1 + 37 + 9 + 580 + 1 + 6 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53973976329 + 83984040000 = 232323^2 + 289800^2 .

It is not a de Polignac number, because 137958016329 - 2¹¹ = 137958014281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137958016309) 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, 179398857 + ... + 179399625.

Almost surely, 2^137958016329 is an apocalyptic number.

137958016329 is the 371427-th square number.

137958016329 is the 185714-th centered octagonal number.

It is an amenable number.

137958016329 is a deficient number, since it is larger than the sum of its proper divisors (104681279934).

137958016329 is an frugal number, since it uses more digits than its factorization.

137958016329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 137958016329 in words is "one hundred thirty-seven billion, nine hundred fifty-eight million, sixteen thousand, three hundred twenty-nine".