114131364 has 48 divisors (see below), whose sum is σ = 273038976. Its totient is φ = 37094400.

The previous prime is 114131357. The next prime is 114131383. The reversal of 114131364 is 463131411.

114131364 = T₂₄₉ + T₂₅₀ + ... + T₈₈₇.

It is a nude number because it is divisible by every one of its digits.

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, 81954 + ... + 83334.

It is an arithmetic number, because the mean of its divisors is an integer number (5688312).

Almost surely, 2^114131364 is an apocalyptic number.

It is an amenable number.

114131364 is an abundant number, since it is smaller than the sum of its proper divisors (158907612).

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

114131364 is a wasteful number, since it uses less digits than its factorization.

114131364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1554 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 114131364 is about 10683.2281638089. The cubic root of 114131364 is about 485.0669323433.

Adding to 114131364 its reverse (463131411), we get a palindrome (577262775).

It can be divided in two parts, 11 and 4131364, that added together give a triangular number (4131375 = T₂₈₇₄).

The spelling of 114131364 in words is "one hundred fourteen million, one hundred thirty-one thousand, three hundred sixty-four".