114765156 has 72 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 34200000.

The previous prime is 114765139. The next prime is 114765163. The reversal of 114765156 is 651567411.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114765156.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21781 + ... + 26531.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^114765156 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 114765156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

114765156 is an abundant number, since it is smaller than the sum of its proper divisors (206964252).

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

114765156 is a wasteful number, since it uses less digits than its factorization.

114765156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4828 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 114765156 is about 10712.8500409555. The cubic root of 114765156 is about 485.9631633920.

It can be divided in two parts, 114765 and 156, that added together give a square (114921 = 339²).

The spelling of 114765156 in words is "one hundred fourteen million, seven hundred sixty-five thousand, one hundred fifty-six".