111137557129 has 9 divisors (see below), whose sum is σ = 111554160277. Its totient is φ = 110722507744.

The previous prime is 111137557121. The next prime is 111137557247. The reversal of 111137557129 is 921755731111.

The square root of 111137557129 is 333373.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5935932025 + 105201625104 = 77045^2 + 324348^2 .

It is not a de Polignac number, because 111137557129 - 2³ = 111137557121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111137557121) 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, 129681669 + ... + 129682525.

Almost surely, 2^111137557129 is an apocalyptic number.

111137557129 is the 333373-rd square number.

111137557129 is the 166687-th centered octagonal number.

It is an amenable number.

111137557129 is a deficient number, since it is larger than the sum of its proper divisors (416603148).

111137557129 is an frugal number, since it uses more digits than its factorization.

With its predecessor (111137557128) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2492).

111137557129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 1246 counting only the distinct ones).

The product of its digits is 66150, while the sum is 43.

The spelling of 111137557129 in words is "one hundred eleven billion, one hundred thirty-seven million, five hundred fifty-seven thousand, one hundred twenty-nine".