114538032 has 120 divisors (see below), whose sum is σ = 368825600. Its totient is φ = 32503680.

The previous prime is 114538019. The next prime is 114538037. The reversal of 114538032 is 230835411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114537987 and 114538005.

It is not an unprimeable number, because it can be changed into a prime (114538037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200307 + ... + 200877.

Almost surely, 2^114538032 is an apocalyptic number.

114538032 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 114538032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184412800).

114538032 is an abundant number, since it is smaller than the sum of its proper divisors (254287568).

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

114538032 is a wasteful number, since it uses less digits than its factorization.

114538032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 114538032 is about 10702.2442506233. The cubic root of 114538032 is about 485.6423726784.

The spelling of 114538032 in words is "one hundred fourteen million, five hundred thirty-eight thousand, thirty-two".