114131520 has 168 divisors, whose sum is σ = 409870656. Its totient is φ = 29094912.

The previous prime is 114131513. The next prime is 114131573. The reversal of 114131520 is 25131411.

114131520 is a `hidden beast` number, since 1 + 14 + 131 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114131493 and 114131502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65379 + ... + 67101.

Almost surely, 2^114131520 is an apocalyptic number.

114131520 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 114131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204935328).

114131520 is an abundant number, since it is smaller than the sum of its proper divisors (295739136).

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

114131520 is a wasteful number, since it uses less digits than its factorization.

114131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114131520 is about 10683.2354649703. The cubic root of 114131520 is about 485.0671533472.

Adding to 114131520 its reverse (25131411), we get a palindrome (139262931).

The spelling of 114131520 in words is "one hundred fourteen million, one hundred thirty-one thousand, five hundred twenty".