115896144 has 160 divisors (see below), whose sum is σ = 373031680. Its totient is φ = 30371328.

The previous prime is 115896113. The next prime is 115896167. The reversal of 115896144 is 441698511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738114 + ... + 738270.

It is an arithmetic number, because the mean of its divisors is an integer number (2331448).

Almost surely, 2^115896144 is an apocalyptic number.

115896144 is a gapful number since it is divisible by the number (14) 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 115896144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186515840).

115896144 is an abundant number, since it is smaller than the sum of its proper divisors (257135536).

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

115896144 is a wasteful number, since it uses less digits than its factorization.

115896144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 115896144 is about 10765.5071408643. The cubic root of 115896144 is about 487.5543050616.

The spelling of 115896144 in words is "one hundred fifteen million, eight hundred ninety-six thousand, one hundred forty-four".