115345296 has 280 divisors, whose sum is σ = 390332160. Its totient is φ = 32659200.

The previous prime is 115345277. The next prime is 115345297. The reversal of 115345296 is 692543511.

115345296 is a `hidden beast` number, since 115 + 3 + 452 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115345296.

It is not an unprimeable number, because it can be changed into a prime (115345297) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3720801 + ... + 3720831.

Almost surely, 2^115345296 is an apocalyptic number.

115345296 is a gapful number since it is divisible by the number (16) 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 115345296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195166080).

115345296 is an abundant number, since it is smaller than the sum of its proper divisors (274986864).

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

115345296 is a wasteful number, since it uses less digits than its factorization.

115345296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 115345296 is about 10739.8927368945. The cubic root of 115345296 is about 486.7806384308.

The spelling of 115345296 in words is "one hundred fifteen million, three hundred forty-five thousand, two hundred ninety-six".