114792132 has 96 divisors (see below), whose sum is σ = 340393984. Its totient is φ = 29289600.

The previous prime is 114792131. The next prime is 114792193. The reversal of 114792132 is 231297411.

It is a self number, because there is not a number n which added to its sum of digits gives 114792132.

It is not an unprimeable number, because it can be changed into a prime (114792131) 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, 32157 + ... + 35547.

Almost surely, 2^114792132 is an apocalyptic number.

114792132 is a gapful number since it is divisible by the number (12) 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 114792132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170196992).

114792132 is an abundant number, since it is smaller than the sum of its proper divisors (225601852).

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

114792132 is a wasteful number, since it uses less digits than its factorization.

114792132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3447 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 114792132 is about 10714.1090156858. The cubic root of 114792132 is about 486.0012362583.

The spelling of 114792132 in words is "one hundred fourteen million, seven hundred ninety-two thousand, one hundred thirty-two".