114192144 has 60 divisors (see below), whose sum is σ = 348636912. Its totient is φ = 34603200.

The previous prime is 114192137. The next prime is 114192151. The reversal of 114192144 is 441291411.

It is an interprime number because it is at equal distance from previous prime (114192137) and next prime (114192151).

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 11 ways as a sum of consecutive naturals, for example, 34462 + ... + 37629.

Almost surely, 2^114192144 is an apocalyptic number.

It is an amenable number.

114192144 is an abundant number, since it is smaller than the sum of its proper divisors (234444768).

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

114192144 is a wasteful number, since it uses less digits than its factorization.

114192144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72116 (or 72107 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 114192144 is about 10686.0724309729. The cubic root of 114192144 is about 485.1530235956.

The spelling of 114192144 in words is "one hundred fourteen million, one hundred ninety-two thousand, one hundred forty-four".