114752000 has 160 divisors (see below), whose sum is σ = 314069184. Its totient is φ = 41472000.

The previous prime is 114751999. The next prime is 114752021. The reversal of 114752000 is 257411.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 703919 + ... + 704081.

Almost surely, 2^114752000 is an apocalyptic number.

114752000 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 114752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034592).

114752000 is an abundant number, since it is smaller than the sum of its proper divisors (199317184).

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

114752000 is an equidigital number, since it uses as much as digits as its factorization.

114752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 114752000 is about 10712.2359944131. The cubic root of 114752000 is about 485.9445933663.

The spelling of 114752000 in words is "one hundred fourteen million, seven hundred fifty-two thousand".