115137792 has 324 divisors, whose sum is σ = 424089120. Its totient is φ = 29399040.

The previous prime is 115137791. The next prime is 115137797. The reversal of 115137792 is 297731511.

It is a super-2 number, since 2×115137792² = 26513422293270528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115137791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1951459 + ... + 1951517.

Almost surely, 2^115137792 is an apocalyptic number.

115137792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212044560).

115137792 is an abundant number, since it is smaller than the sum of its proper divisors (308951328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115137792 is a wasteful number, since it uses less digits than its factorization.

115137792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 115137792 is about 10730.2279565720. The cubic root of 115137792 is about 486.4885601673.

The spelling of 115137792 in words is "one hundred fifteen million, one hundred thirty-seven thousand, seven hundred ninety-two".