137598709249 has 9 divisors (see below), whose sum is σ = 138125600067. Its totient is φ = 137073824904.

The previous prime is 137598709231. The next prime is 137598709253. The reversal of 137598709249 is 942907895731.

The square root of 137598709249 is 370943.

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., 64341873649 + 73256835600 = 253657^2 + 270660^2 .

It is not a de Polignac number, because 137598709249 - 2¹⁷ = 137598578177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137598709949) 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, 128716687 + ... + 128717755.

Almost surely, 2^137598709249 is an apocalyptic number.

137598709249 is the 370943-rd square number.

137598709249 is the 185472-nd centered octagonal number.

It is an amenable number.

137598709249 is a deficient number, since it is larger than the sum of its proper divisors (526890818).

137598709249 is an frugal number, since it uses more digits than its factorization.

137598709249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

Multiplying 137598709249 by its sum of digits (64), we get a square (8806317391936 = 2967544²).

The spelling of 137598709249 in words is "one hundred thirty-seven billion, five hundred ninety-eight million, seven hundred nine thousand, two hundred forty-nine".