114251040 has 192 divisors, whose sum is σ = 408240000. Its totient is φ = 29832192.

The previous prime is 114251021. The next prime is 114251087. The reversal of 114251040 is 40152411.

114251040 is a `hidden beast` number, since 114 + 2 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 228711 + ... + 229209.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 2^114251040 is an apocalyptic number.

114251040 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 114251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120000).

114251040 is an abundant number, since it is smaller than the sum of its proper divisors (293988960).

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

114251040 is a wasteful number, since it uses less digits than its factorization.

114251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114251040 is about 10688.8278122533. The cubic root of 114251040 is about 485.2364171359.

The spelling of 114251040 in words is "one hundred fourteen million, two hundred fifty-one thousand, forty".