114513600 has 84 divisors (see below), whose sum is σ = 375715784. Its totient is φ = 30535680.

The previous prime is 114513599. The next prime is 114513617. The reversal of 114513600 is 6315411.

It is a super-2 number, since 2×114513600² = 26226729169920000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7129 + ... + 16728.

Almost surely, 2^114513600 is an apocalyptic number.

114513600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114513600 is an abundant number, since it is smaller than the sum of its proper divisors (261202184).

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

114513600 is a wasteful number, since it uses less digits than its factorization.

114513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23882 (or 23867 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 114513600 is about 10701.1027469135. The cubic root of 114513600 is about 485.6078395835.

It can be divided in two parts, 11451 and 3600, that added together give a palindrome (15051).

The spelling of 114513600 in words is "one hundred fourteen million, five hundred thirteen thousand, six hundred".