114250752 has 396 divisors, whose sum is σ = 436846176. Its totient is φ = 28385280.

The previous prime is 114250711. The next prime is 114250769. The reversal of 114250752 is 257052411.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4967413 + ... + 4967435.

Almost surely, 2^114250752 is an apocalyptic number.

114250752 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 114250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218423088).

114250752 is an abundant number, since it is smaller than the sum of its proper divisors (322595424).

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

114250752 is a wasteful number, since it uses less digits than its factorization.

114250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 114250752 is about 10688.8143402344. The cubic root of 114250752 is about 485.2360094133.

The spelling of 114250752 in words is "one hundred fourteen million, two hundred fifty thousand, seven hundred fifty-two".