115517952 has 240 divisors, whose sum is σ = 379181088. Its totient is φ = 33546240.

The previous prime is 115517947. The next prime is 115517993. The reversal of 115517952 is 259715511.

115517952 is a `hidden beast` number, since 11 + 551 + 7 + 95 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179558 + ... + 2179610.

Almost surely, 2^115517952 is an apocalyptic number.

115517952 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 115517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189590544).

115517952 is an abundant number, since it is smaller than the sum of its proper divisors (263663136).

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

115517952 is a wasteful number, since it uses less digits than its factorization.

115517952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its digits is 15750, while the sum is 36.

The square root of 115517952 is about 10747.9278002785. The cubic root of 115517952 is about 487.0233985050.

It can be divided in two parts, 11551 and 7952, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 115517952 in words is "one hundred fifteen million, five hundred seventeen thousand, nine hundred fifty-two".