114503004 has 192 divisors, whose sum is σ = 379008000. Its totient is φ = 29635200.

The previous prime is 114503003. The next prime is 114503017. The reversal of 114503004 is 400305411.

It is a happy number.

It is a super-3 number, since 3×114503004³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114503003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407344 + ... + 407624.

It is an arithmetic number, because the mean of its divisors is an integer number (1974000).

Almost surely, 2^114503004 is an apocalyptic number.

114503004 is a gapful number since it is divisible by the number (14) 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 114503004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189504000).

114503004 is an abundant number, since it is smaller than the sum of its proper divisors (264504996).

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

114503004 is a wasteful number, since it uses less digits than its factorization.

114503004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114503004 is about 10700.6076462975. The cubic root of 114503004 is about 485.5928612770.

Adding to 114503004 its reverse (400305411), we get a palindrome (514808415).

The spelling of 114503004 in words is "one hundred fourteen million, five hundred three thousand, four".