114150800 has 30 divisors (see below), whose sum is σ = 274248258. Its totient is φ = 45660160.

The previous prime is 114150793. The next prime is 114150811. The reversal of 114150800 is 8051411.

It can be written as a sum of positive squares in 3 ways, for example, as 1281424 + 112869376 = 1132^2 + 10624^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142289 + ... + 143088.

Almost surely, 2^114150800 is an apocalyptic number.

114150800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114150800 is an abundant number, since it is smaller than the sum of its proper divisors (160097458).

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

114150800 is a wasteful number, since it uses less digits than its factorization.

114150800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285395 (or 285384 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 114150800 is about 10684.1377752255. The cubic root of 114150800 is about 485.0944656040.

The spelling of 114150800 in words is "one hundred fourteen million, one hundred fifty thousand, eight hundred".