137499314481 has 15 divisors (see below), whose sum is σ = 205405195963. Its totient is φ = 91663984800.

The previous prime is 137499314461. The next prime is 137499314483. The reversal of 137499314481 is 184413994731.

The square root of 137499314481 is 370809.

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

137499314481 is a `hidden beast` number, since 1 + 3 + 7 + 499 + 3 + 144 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116970156081 + 20529158400 = 342009^2 + 143280^2 .

It is not a de Polignac number, because 137499314481 - 2¹⁵ = 137499281713 is a prime.

It is a super-2 number, since 2×137499314481² (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 (137499314483) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3316681 + ... + 3357881.

Almost surely, 2^137499314481 is an apocalyptic number.

137499314481 is the 370809-th square number.

137499314481 is the 185405-th centered octagonal number.

It is an amenable number.

137499314481 is a deficient number, since it is larger than the sum of its proper divisors (67905881482).

137499314481 is an frugal number, since it uses more digits than its factorization.

137499314481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82414 (or 41204 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 137499314481 in words is "one hundred thirty-seven billion, four hundred ninety-nine million, three hundred fourteen thousand, four hundred eighty-one".