114625200 has 120 divisors (see below), whose sum is σ = 373636800. Its totient is φ = 30030080.

The previous prime is 114625193. The next prime is 114625201. The reversal of 114625200 is 2526411.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (114625201) 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, 69991 + ... + 71609.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2^114625200 is an apocalyptic number.

114625200 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 114625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186818400).

114625200 is an abundant number, since it is smaller than the sum of its proper divisors (259011600).

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

114625200 is a wasteful number, since it uses less digits than its factorization.

114625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114625200 is about 10706.3158929671. The cubic root of 114625200 is about 485.7655391622.

The spelling of 114625200 in words is "one hundred fourteen million, six hundred twenty-five thousand, two hundred".