114300153050240 has 512 divisors, whose sum is σ = 307810094284800. Its totient is φ = 40331279794176.

The previous prime is 114300153050191. The next prime is 114300153050261. The reversal of 114300153050240 is 42050351003411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9635006549 + ... + 9635018411.

It is an arithmetic number, because the mean of its divisors is an integer number (601191590400).

Almost surely, 2^{114300153050240} is an apocalyptic number.

114300153050240 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 114300153050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153905047142400).

114300153050240 is an abundant number, since it is smaller than the sum of its proper divisors (193509941234560).

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

114300153050240 is a wasteful number, since it uses less digits than its factorization.

114300153050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 114300153050240 in words is "one hundred fourteen trillion, three hundred billion, one hundred fifty-three million, fifty thousand, two hundred forty".