114402000 has 160 divisors (see below), whose sum is σ = 385332480. Its totient is φ = 29145600.

The previous prime is 114401957. The next prime is 114402007. The reversal of 114402000 is 204411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114402007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137586 + ... + 138414.

It is an arithmetic number, because the mean of its divisors is an integer number (2408328).

Almost surely, 2^114402000 is an apocalyptic number.

114402000 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 114402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192666240).

114402000 is an abundant number, since it is smaller than the sum of its proper divisors (270930480).

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

114402000 is a wasteful number, since it uses less digits than its factorization.

114402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 114402000 is about 10695.8870599871. The cubic root of 114402000 is about 485.4500375133.

Adding to 114402000 its reverse (204411), we get a palindrome (114606411).

The spelling of 114402000 in words is "one hundred fourteen million, four hundred two thousand".