114813720 has 128 divisors (see below), whose sum is σ = 437414400. Its totient is φ = 26241408.

The previous prime is 114813719. The next prime is 114813731. The reversal of 114813720 is 27318411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34 + ... + 15153.

It is an arithmetic number, because the mean of its divisors is an integer number (3417300).

Almost surely, 2^114813720 is an apocalyptic number.

114813720 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 114813720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218707200).

114813720 is an abundant number, since it is smaller than the sum of its proper divisors (322600680).

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

114813720 is a wasteful number, since it uses less digits than its factorization.

114813720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15214 (or 15204 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114813720 is about 10715.1164249391. The cubic root of 114813720 is about 486.0317004166.

The spelling of 114813720 in words is "one hundred fourteen million, eight hundred thirteen thousand, seven hundred twenty".