115150542400 has 168 divisors, whose sum is σ = 285493602240. Its totient is φ = 45712189440.

The previous prime is 115150542371. The next prime is 115150542421. The reversal of 115150542400 is 4245051511.

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 23 ways as a sum of consecutive naturals, for example, 176340474 + ... + 176341126.

It is an arithmetic number, because the mean of its divisors is an integer number (1699366680).

Almost surely, 2^115150542400 is an apocalyptic number.

115150542400 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 115150542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142746801120).

115150542400 is an abundant number, since it is smaller than the sum of its proper divisors (170343059840).

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

115150542400 is a wasteful number, since it uses less digits than its factorization.

115150542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

Adding to 115150542400 its reverse (4245051511), we get a palindrome (119395593911).

The spelling of 115150542400 in words is "one hundred fifteen billion, one hundred fifty million, five hundred forty-two thousand, four hundred".