114251136 has 64 divisors (see below), whose sum is σ = 306281520. Its totient is φ = 37732352.

The previous prime is 114251131. The next prime is 114251167. The reversal of 114251136 is 631152411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114251131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42076 + ... + 44708.

Almost surely, 2^114251136 is an apocalyptic number.

114251136 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 114251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153140760).

114251136 is an abundant number, since it is smaller than the sum of its proper divisors (192030384).

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

114251136 is a wasteful number, since it uses less digits than its factorization.

114251136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2751 counting only the distinct ones).

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

The square root of 114251136 is about 10688.8323029225. The cubic root of 114251136 is about 485.2365530433.

It can be divided in two parts, 11425 and 1136, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 114251136 in words is "one hundred fourteen million, two hundred fifty-one thousand, one hundred thirty-six".