114155136 has 256 divisors, whose sum is σ = 374544000. Its totient is φ = 34062336.

The previous prime is 114155131. The next prime is 114155143. The reversal of 114155136 is 631551411.

114155136 is a `hidden beast` number, since 1 + 141 + 5 + 513 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114155131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703775 + ... + 1703841.

Almost surely, 2^114155136 is an apocalyptic number.

114155136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187272000).

114155136 is an abundant number, since it is smaller than the sum of its proper divisors (260388864).

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

114155136 is a wasteful number, since it uses less digits than its factorization.

114155136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

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

The square root of 114155136 is about 10684.3406909364. The cubic root of 114155136 is about 485.1006076050.

The spelling of 114155136 in words is "one hundred fourteen million, one hundred fifty-five thousand, one hundred thirty-six".