114552000 has 336 divisors, whose sum is σ = 430633632. Its totient is φ = 29030400.

The previous prime is 114551951. The next prime is 114552047. The reversal of 114552000 is 255411.

114552000 is a `hidden beast` number, since 1 + 145 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663979 + ... + 2664021.

Almost surely, 2^114552000 is an apocalyptic number.

114552000 is a gapful number since it is divisible by the number (10) 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 114552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215316816).

114552000 is an abundant number, since it is smaller than the sum of its proper divisors (316081632).

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

114552000 is a wasteful number, since it uses less digits than its factorization.

114552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 114552000 is about 10702.8968041367. The cubic root of 114552000 is about 485.6621133614.

The spelling of 114552000 in words is "one hundred fourteen million, five hundred fifty-two thousand".