115242141300 has 288 divisors, whose sum is σ = 395619928704. Its totient is φ = 25532160000.

The previous prime is 115242141233. The next prime is 115242141331. The reversal of 115242141300 is 3141242511.

It is a super-2 number, since 2×115242141300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4319602 + ... + 4346198.

It is an arithmetic number, because the mean of its divisors is an integer number (1373680308).

Almost surely, 2^115242141300 is an apocalyptic number.

115242141300 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 115242141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197809964352).

115242141300 is an abundant number, since it is smaller than the sum of its proper divisors (280377787404).

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

115242141300 is a wasteful number, since it uses less digits than its factorization.

115242141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26739 (or 26732 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 115242141300 its reverse (3141242511), we get a palindrome (118383383811).

The spelling of 115242141300 in words is "one hundred fifteen billion, two hundred forty-two million, one hundred forty-one thousand, three hundred".