137658066529 has 9 divisors (see below), whose sum is σ = 138217977619. Its totient is φ = 137100418960.

The previous prime is 137658066527. The next prime is 137658066541. The reversal of 137658066529 is 925660856731.

The square root of 137658066529 is 371023.

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

It can be written as a sum of positive squares in only one way, i.e., 70705469025 + 66952597504 = 265905^2 + 258752^2 .

It is not a de Polignac number, because 137658066529 - 2¹ = 137658066527 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137658066523) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115387557 + ... + 115388749.

Almost surely, 2^137658066529 is an apocalyptic number.

137658066529 is the 371023-rd square number.

137658066529 is the 185512-nd centered octagonal number.

It is an amenable number.

137658066529 is a deficient number, since it is larger than the sum of its proper divisors (559911090).

137658066529 is an frugal number, since it uses more digits than its factorization.

137658066529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 137658066529 in words is "one hundred thirty-seven billion, six hundred fifty-eight million, sixty-six thousand, five hundred twenty-nine".