114179520 has 224 divisors, whose sum is σ = 446519808. Its totient is φ = 24072192.

The previous prime is 114179503. The next prime is 114179539. The reversal of 114179520 is 25971411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86707 + ... + 88013.

It is an arithmetic number, because the mean of its divisors is an integer number (1993392).

Almost surely, 2^114179520 is an apocalyptic number.

114179520 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 114179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223259904).

114179520 is an abundant number, since it is smaller than the sum of its proper divisors (332340288).

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

114179520 is a wasteful number, since it uses less digits than its factorization.

114179520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 114179520 is about 10685.4817392572. The cubic root of 114179520 is about 485.1351449650.

The spelling of 114179520 in words is "one hundred fourteen million, one hundred seventy-nine thousand, five hundred twenty".