115154151142400 has 264 divisors, whose sum is σ = 298126438225440. Its totient is φ = 44057123389440.

The previous prime is 115154151142397. The next prime is 115154151142477. The reversal of 115154151142400 is 4241151451511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54854519 + ... + 56915081.

It is an arithmetic number, because the mean of its divisors is an integer number (1129266811460).

Almost surely, 2^{115154151142400} is an apocalyptic number.

115154151142400 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 115154151142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149063219112720).

115154151142400 is an abundant number, since it is smaller than the sum of its proper divisors (182972287083040).

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

115154151142400 is a wasteful number, since it uses less digits than its factorization.

115154151142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060689 (or 2060666 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 35.

The spelling of 115154151142400 in words is "one hundred fifteen trillion, one hundred fifty-four billion, one hundred fifty-one million, one hundred forty-two thousand, four hundred".