114929280 has 192 divisors, whose sum is σ = 412120800. Its totient is φ = 30606336.

The previous prime is 114929267. The next prime is 114929303. The reversal of 114929280 is 82929411.

114929280 is a `hidden beast` number, since 1 + 1 + 492 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 155151 + ... + 155889.

Almost surely, 2^114929280 is an apocalyptic number.

114929280 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 114929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206060400).

114929280 is an abundant number, since it is smaller than the sum of its proper divisors (297191520).

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

114929280 is an frugal number, since it uses more digits than its factorization.

114929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114929280 is about 10720.5074506760. The cubic root of 114929280 is about 486.1947093619.

The spelling of 114929280 in words is "one hundred fourteen million, nine hundred twenty-nine thousand, two hundred eighty".