115433536 has 63 divisors (see below), whose sum is σ = 246449469. Its totient is φ = 53634048.

The previous prime is 115433509. The next prime is 115433537. The reversal of 115433536 is 635334511.

The square root of 115433536 is 10744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89870400 + 25563136 = 9480^2 + 5056^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 115433498 and 115433507.

It is not an unprimeable number, because it can be changed into a prime (115433537) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1461145 + ... + 1461223.

Almost surely, 2^115433536 is an apocalyptic number.

115433536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115433536 is the 10744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115433536

115433536 is an abundant number, since it is smaller than the sum of its proper divisors (131015933).

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

115433536 is an frugal number, since it uses more digits than its factorization.

115433536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 98 counting only the distinct ones).

The product of its digits is 16200, while the sum is 31.

The cubic root of 115433536 is about 486.9047370472.

The spelling of 115433536 in words is "one hundred fifteen million, four hundred thirty-three thousand, five hundred thirty-six".