114131960 has 64 divisors (see below), whose sum is σ = 263800800. Its totient is φ = 44425216.

The previous prime is 114131951. The next prime is 114131971. The reversal of 114131960 is 69131411.

It is a super-2 number, since 2×114131960² = 26052208586883200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323144 + ... + 323496.

Almost surely, 2^114131960 is an apocalyptic number.

114131960 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 114131960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131900400).

114131960 is an abundant number, since it is smaller than the sum of its proper divisors (149668840).

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

114131960 is a wasteful number, since it uses less digits than its factorization.

114131960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 114131960 is about 10683.2560579629. The cubic root of 114131960 is about 485.0677766902.

The spelling of 114131960 in words is "one hundred fourteen million, one hundred thirty-one thousand, nine hundred sixty".