114897160 has 144 divisors (see below), whose sum is σ = 315833580. Its totient is φ = 37497600.

The previous prime is 114897143. The next prime is 114897197. The reversal of 114897160 is 61798411.

It can be written as a sum of positive squares in 2 ways, for example, as 99640324 + 15256836 = 9982^2 + 3906^2 .

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 35 ways as a sum of consecutive naturals, for example, 1883530 + ... + 1883590.

Almost surely, 2^114897160 is an apocalyptic number.

114897160 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 114897160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157916790).

114897160 is an abundant number, since it is smaller than the sum of its proper divisors (200936420).

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

114897160 is a wasteful number, since it uses less digits than its factorization.

114897160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 114897160 is about 10719.0092825783. The cubic root of 114897160 is about 486.1494118563.

The spelling of 114897160 in words is "one hundred fourteen million, eight hundred ninety-seven thousand, one hundred sixty".