114981504 has 128 divisors (see below), whose sum is σ = 337236480. Its totient is φ = 34421760.

The previous prime is 114981499. The next prime is 114981551. The reversal of 114981504 is 405189411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×114981504³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688429 + ... + 688595.

It is an arithmetic number, because the mean of its divisors is an integer number (2634660).

Almost surely, 2^114981504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168618240).

114981504 is an abundant number, since it is smaller than the sum of its proper divisors (222254976).

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

114981504 is a wasteful number, since it uses less digits than its factorization.

114981504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 114981504 is about 10722.9428796390. The cubic root of 114981504 is about 486.2683406929.

The spelling of 114981504 in words is "one hundred fourteen million, nine hundred eighty-one thousand, five hundred four".