114377520 has 80 divisors (see below), whose sum is σ = 356664672. Its totient is φ = 30320640.

The previous prime is 114377519. The next prime is 114377533. The reversal of 114377520 is 25773411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42124 + ... + 44756.

Almost surely, 2^114377520 is an apocalyptic number.

114377520 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 114377520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178332336).

114377520 is an abundant number, since it is smaller than the sum of its proper divisors (242287152).

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

114377520 is a wasteful number, since it uses less digits than its factorization.

114377520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 114377520 is about 10694.7426336495. The cubic root of 114377520 is about 485.4154091424.

The spelling of 114377520 in words is "one hundred fourteen million, three hundred seventy-seven thousand, five hundred twenty".