114571151136 has 240 divisors, whose sum is σ = 366621232824. Its totient is φ = 34888237056.

The previous prime is 114571151129. The next prime is 114571151147. The reversal of 114571151136 is 631151175411.

114571151136 is a `hidden beast` number, since 1 + 1 + 4 + 571 + 1 + 51 + 1 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55958741136 + 58612410000 = 236556^2 + 242100^2 .

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 114571151136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3250986 + ... + 3286038.

Almost surely, 2^114571151136 is an apocalyptic number.

114571151136 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 114571151136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183310616412).

114571151136 is an abundant number, since it is smaller than the sum of its proper divisors (252050081688).

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

114571151136 is a wasteful number, since it uses less digits than its factorization.

114571151136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35185 (or 35168 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

The spelling of 114571151136 in words is "one hundred fourteen billion, five hundred seventy-one million, one hundred fifty-one thousand, one hundred thirty-six".