114136175440 has 80 divisors (see below), whose sum is σ = 304068538368. Its totient is φ = 39030156288.

The previous prime is 114136175399. The next prime is 114136175459. The reversal of 114136175440 is 44571631411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 114136175440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51597 + ... + 480556.

Almost surely, 2^114136175440 is an apocalyptic number.

114136175440 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 114136175440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152034269184).

114136175440 is an abundant number, since it is smaller than the sum of its proper divisors (189932362928).

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

114136175440 is a wasteful number, since it uses less digits than its factorization.

114136175440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532556 (or 532550 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 114136175440 in words is "one hundred fourteen billion, one hundred thirty-six million, one hundred seventy-five thousand, four hundred forty".