114809000 has 32 divisors (see below), whose sum is σ = 268655400. Its totient is φ = 45923200.

The previous prime is 114808997. The next prime is 114809033. The reversal of 114809000 is 908411.

114809000 = 1523² + 1524² + ... + 1570².

It can be written as a sum of positive squares in 4 ways, for example, as 48972004 + 65836996 = 6998^2 + 8114^2 .

It is a super-2 number, since 2×114809000² = 26362212962000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56405 + ... + 58404.

Almost surely, 2^114809000 is an apocalyptic number.

114809000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114809000 is an abundant number, since it is smaller than the sum of its proper divisors (153846400).

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

114809000 is a wasteful number, since it uses less digits than its factorization.

114809000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114830 (or 114816 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 114809000 is about 10714.8961730854. The cubic root of 114809000 is about 486.0250400597.

The spelling of 114809000 in words is "one hundred fourteen million, eight hundred nine thousand".