115536420 has 108 divisors (see below), whose sum is σ = 372456084. Its totient is φ = 28984320.

The previous prime is 115536419. The next prime is 115536467. The reversal of 115536420 is 24635511.

115536420 is a `hidden beast` number, since 1 + 15 + 5 + 3 + 642 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11128896 + 104407524 = 3336^2 + 10218^2 .

It is an unprimeable number.

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, 50910 + ... + 53130.

Almost surely, 2^115536420 is an apocalyptic number.

115536420 is a gapful number since it is divisible by the number (10) 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 115536420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186228042).

115536420 is an abundant number, since it is smaller than the sum of its proper divisors (256919664).

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

115536420 is a wasteful number, since it uses less digits than its factorization.

115536420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 115536420 is about 10748.7869082981. The cubic root of 115536420 is about 487.0493508027.

Subtracting from 115536420 its reverse (24635511), we obtain a palindrome (90900909).

The spelling of 115536420 in words is "one hundred fifteen million, five hundred thirty-six thousand, four hundred twenty".