114377760 has 216 divisors, whose sum is σ = 454318956. Its totient is φ = 26127360.

The previous prime is 114377729. The next prime is 114377779. The reversal of 114377760 is 67773411.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 571536 = 10668^2 + 756^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69750 + ... + 71370.

Almost surely, 2^114377760 is an apocalyptic number.

114377760 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 114377760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227159478).

114377760 is an abundant number, since it is smaller than the sum of its proper divisors (339941196).

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

114377760 is a wasteful number, since it uses less digits than its factorization.

114377760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 114377760 is about 10694.7538541100. The cubic root of 114377760 is about 485.4157486603.

The spelling of 114377760 in words is "one hundred fourteen million, three hundred seventy-seven thousand, seven hundred sixty".