114132480 has 320 divisors, whose sum is σ = 457256448. Its totient is φ = 23592960.

The previous prime is 114132467. The next prime is 114132481. The reversal of 114132480 is 84231411.

It is a tau number, because it is divible by the number of its divisors (320).

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 114132480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114132481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591264 + ... + 591456.

Almost surely, 2^114132480 is an apocalyptic number.

114132480 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 114132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228628224).

114132480 is an abundant number, since it is smaller than the sum of its proper divisors (343123968).

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

114132480 is a wasteful number, since it uses less digits than its factorization.

114132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 114132480 is about 10683.2803950846. The cubic root of 114132480 is about 485.0685133663.

Adding to 114132480 its reverse (84231411), we get a palindrome (198363891).

The spelling of 114132480 in words is "one hundred fourteen million, one hundred thirty-two thousand, four hundred eighty".