114977160 has 96 divisors (see below), whose sum is σ = 375350040. Its totient is φ = 30523392.

The previous prime is 114977147. The next prime is 114977201. The reversal of 114977160 is 61779411.

114977160 is a `hidden beast` number, since 1 + 1 + 497 + 7 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89756676 + 25220484 = 9474^2 + 5022^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99144 + ... + 100296.

Almost surely, 2^114977160 is an apocalyptic number.

114977160 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 114977160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675020).

114977160 is an abundant number, since it is smaller than the sum of its proper divisors (260372880).

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

114977160 is a wasteful number, since it uses less digits than its factorization.

114977160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 114977160 is about 10722.7403213917. The cubic root of 114977160 is about 486.2622168782.

The spelling of 114977160 in words is "one hundred fourteen million, nine hundred seventy-seven thousand, one hundred sixty".