114153516 has 48 divisors (see below), whose sum is σ = 300142080. Its totient is φ = 37512720.

The previous prime is 114153503. The next prime is 114153581. The reversal of 114153516 is 615351411.

114153516 is a `hidden beast` number, since 1 + 141 + 5 + 3 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114153516.

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, 225 + ... + 15111.

It is an arithmetic number, because the mean of its divisors is an integer number (6252960).

Almost surely, 2^114153516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114153516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150071040).

114153516 is an abundant number, since it is smaller than the sum of its proper divisors (185988564).

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

114153516 is a wasteful number, since it uses less digits than its factorization.

114153516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14971 (or 14963 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 114153516 is about 10684.2648787832. The cubic root of 114153516 is about 485.0983128719.

The spelling of 114153516 in words is "one hundred fourteen million, one hundred fifty-three thousand, five hundred sixteen".