114515120 has 20 divisors (see below), whose sum is σ = 266247840. Its totient is φ = 45806016.

The previous prime is 114515083. The next prime is 114515131. The reversal of 114515120 is 21515411.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×114515120² = 26227425417228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114515092 and 114515101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 715640 + ... + 715799.

It is an arithmetic number, because the mean of its divisors is an integer number (13312392).

Almost surely, 2^114515120 is an apocalyptic number.

114515120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114515120 is an abundant number, since it is smaller than the sum of its proper divisors (151732720).

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

114515120 is a wasteful number, since it uses less digits than its factorization.

114515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431452 (or 1431446 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 114515120 is about 10701.1737673958. The cubic root of 114515120 is about 485.6099881512.

The spelling of 114515120 in words is "one hundred fourteen million, five hundred fifteen thousand, one hundred twenty".