114134832 has 200 divisors, whose sum is σ = 394665216. Its totient is φ = 31135104.

The previous prime is 114134827. The next prime is 114134833. The reversal of 114134832 is 238431411.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114134796 and 114134805.

It is not an unprimeable number, because it can be changed into a prime (114134833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208383 + ... + 208929.

Almost surely, 2^114134832 is an apocalyptic number.

114134832 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 114134832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197332608).

114134832 is an abundant number, since it is smaller than the sum of its proper divisors (280530384).

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

114134832 is a wasteful number, since it uses less digits than its factorization.

114134832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 114134832 is about 10683.3904730661. The cubic root of 114134832 is about 485.0718453810.

The spelling of 114134832 in words is "one hundred fourteen million, one hundred thirty-four thousand, eight hundred thirty-two".