115415136 has 72 divisors (see below), whose sum is σ = 337113504. Its totient is φ = 37428480.

The previous prime is 115415119. The next prime is 115415137. The reversal of 115415136 is 631514511.

115415136 is a `hidden beast` number, since 115 + 415 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115415137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5241 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (4682132).

Almost surely, 2^115415136 is an apocalyptic number.

115415136 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 115415136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168556752).

115415136 is an abundant number, since it is smaller than the sum of its proper divisors (221698368).

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

115415136 is a wasteful number, since it uses less digits than its factorization.

115415136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10884 (or 10873 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 115415136 is about 10743.1436739904. The cubic root of 115415136 is about 486.8788649493.

Adding to 115415136 its reverse (631514511), we get a palindrome (746929647).

It can be divided in two parts, 1154 and 15136, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 115415136 in words is "one hundred fifteen million, four hundred fifteen thousand, one hundred thirty-six".