114837264 has 50 divisors (see below), whose sum is σ = 332376110. Its totient is φ = 38278656.

The previous prime is 114837241. The next prime is 114837293. The reversal of 114837264 is 462738411.

It can be written as a sum of positive squares in only one way, i.e., 114318864 + 518400 = 10692^2 + 720^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 43009 + ... + 45600.

Almost surely, 2^114837264 is an apocalyptic number.

It is an amenable number.

114837264 is an abundant number, since it is smaller than the sum of its proper divisors (217538846).

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

114837264 is an equidigital number, since it uses as much as digits as its factorization.

114837264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88629 (or 88614 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 114837264 is about 10716.2150034422. The cubic root of 114837264 is about 486.0649204541.

The spelling of 114837264 in words is "one hundred fourteen million, eight hundred thirty-seven thousand, two hundred sixty-four".