137524530649 has 9 divisors (see below), whose sum is σ = 151167811039. Its totient is φ = 125018592160.

The previous prime is 137524530643. The next prime is 137524530679. The reversal of 137524530649 is 946035425731.

The square root of 137524530649 is 370843.

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., 18891128025 + 118633402624 = 137445^2 + 344432^2 .

It is not a de Polignac number, because 137524530649 - 2⁵ = 137524530617 is a prime.

It is a super-2 number, since 2×137524530649² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137524530643) 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, 4062417 + ... + 4096129.

Almost surely, 2^137524530649 is an apocalyptic number.

137524530649 is the 370843-rd square number.

137524530649 is the 185422-nd centered octagonal number.

It is an amenable number.

137524530649 is a deficient number, since it is larger than the sum of its proper divisors (13643280390).

137524530649 is an frugal number, since it uses more digits than its factorization.

137524530649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67448 (or 33724 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 137524530649 by its sum of digits (49), we get a square (6738702001801 = 2595901²).

The spelling of 137524530649 in words is "one hundred thirty-seven billion, five hundred twenty-four million, five hundred thirty thousand, six hundred forty-nine".