114513360 has 240 divisors, whose sum is σ = 409307136. Its totient is φ = 26320896.

The previous prime is 114513359. The next prime is 114513379. The reversal of 114513360 is 63315411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×114513360² = 26226619236979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114513360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901617 + ... + 901743.

Almost surely, 2^114513360 is an apocalyptic number.

114513360 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 114513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204653568).

114513360 is an abundant number, since it is smaller than the sum of its proper divisors (294793776).

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

114513360 is a wasteful number, since it uses less digits than its factorization.

114513360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 114513360 is about 10701.0915331101. The cubic root of 114513360 is about 485.6075003342.

Adding to 114513360 its reverse (63315411), we get a palindrome (177828771).

The spelling of 114513360 in words is "one hundred fourteen million, five hundred thirteen thousand, three hundred sixty".