114152200 has 48 divisors (see below), whose sum is σ = 271896660. Its totient is φ = 44544000.

The previous prime is 114152183. The next prime is 114152231. The reversal of 114152200 is 2251411.

It can be written as a sum of positive squares in 6 ways, for example, as 17994564 + 96157636 = 4242^2 + 9806^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240 + ... + 15160.

Almost surely, 2^114152200 is an apocalyptic number.

114152200 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 114152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135948330).

114152200 is an abundant number, since it is smaller than the sum of its proper divisors (157744460).

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

114152200 is a wasteful number, since it uses less digits than its factorization.

114152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978 (or 13969 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 114152200 is about 10684.2032927121. The cubic root of 114152200 is about 485.0964487394.

The spelling of 114152200 in words is "one hundred fourteen million, one hundred fifty-two thousand, two hundred".