114355032 has 128 divisors (see below), whose sum is σ = 327628800. Its totient is φ = 32947200.

The previous prime is 114355013. The next prime is 114355067. The reversal of 114355032 is 230553411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114354993 and 114355011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728298 + ... + 728454.

It is an arithmetic number, because the mean of its divisors is an integer number (2559600).

Almost surely, 2^114355032 is an apocalyptic number.

114355032 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 114355032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163814400).

114355032 is an abundant number, since it is smaller than the sum of its proper divisors (213273768).

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

114355032 is a wasteful number, since it uses less digits than its factorization.

114355032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 114355032 is about 10693.6912242686. The cubic root of 114355032 is about 485.3835942159.

The spelling of 114355032 in words is "one hundred fourteen million, three hundred fifty-five thousand, thirty-two".