114152136 has 64 divisors (see below), whose sum is σ = 327628800. Its totient is φ = 32467008.

The previous prime is 114152131. The next prime is 114152153. The reversal of 114152136 is 631251411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114152131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38731 + ... + 41573.

It is an arithmetic number, because the mean of its divisors is an integer number (5119200).

Almost surely, 2^114152136 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 114152136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163814400).

114152136 is an abundant number, since it is smaller than the sum of its proper divisors (213476664).

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

114152136 is a wasteful number, since it uses less digits than its factorization.

114152136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3094 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 114152136 is about 10684.2002976358. The cubic root of 114152136 is about 485.0963580821.

The spelling of 114152136 in words is "one hundred fourteen million, one hundred fifty-two thousand, one hundred thirty-six".