114435090 has 192 divisors, whose sum is σ = 379641600. Its totient is φ = 23708160.

The previous prime is 114435089. The next prime is 114435091. The reversal of 114435090 is 90534411.

114435090 is a `hidden beast` number, since 114 + 43 + 509 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114435089) and next prime (114435091).

It is not an unprimeable number, because it can be changed into a prime (114435091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339402 + ... + 339738.

It is an arithmetic number, because the mean of its divisors is an integer number (1977300).

Almost surely, 2^114435090 is an apocalyptic number.

114435090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114435090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189820800).

114435090 is an abundant number, since it is smaller than the sum of its proper divisors (265206510).

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

114435090 is a wasteful number, since it uses less digits than its factorization.

114435090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114435090 is about 10697.4338044224. The cubic root of 114435090 is about 485.4968373747.

The spelling of 114435090 in words is "one hundred fourteen million, four hundred thirty-five thousand, ninety".