114351552 has 168 divisors, whose sum is σ = 380390400. Its totient is φ = 32168448.

The previous prime is 114351533. The next prime is 114351613. The reversal of 114351552 is 255153411.

114351552 is a `hidden beast` number, since 1 + 143 + 515 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 318349 + ... + 318707.

Almost surely, 2^114351552 is an apocalyptic number.

114351552 is a gapful number since it is divisible by the number (12) 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 114351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190195200).

114351552 is an abundant number, since it is smaller than the sum of its proper divisors (266038848).

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

114351552 is a wasteful number, since it uses less digits than its factorization.

114351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 114351552 is about 10693.5285102720. The cubic root of 114351552 is about 485.3786705088.

The spelling of 114351552 in words is "one hundred fourteen million, three hundred fifty-one thousand, five hundred fifty-two".