114153760 has 96 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 38879232.

The previous prime is 114153751. The next prime is 114153779. The reversal of 114153760 is 67351411.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 254016 + ... + 254464.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^114153760 is an apocalyptic number.

114153760 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 114153760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

114153760 is an abundant number, since it is smaller than the sum of its proper divisors (196108640).

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

114153760 is a wasteful number, since it uses less digits than its factorization.

114153760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 114153760 is about 10684.2762974382. The cubic root of 114153760 is about 485.0986584997.

The spelling of 114153760 in words is "one hundred fourteen million, one hundred fifty-three thousand, seven hundred sixty".