115452130435400 has 288 divisors, whose sum is σ = 296904328156800. Its totient is φ = 41406155481600.

The previous prime is 115452130435399. The next prime is 115452130435429. The reversal of 115452130435400 is 4534031254511.

It is a super-2 number, since 2×115452130435400² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 14265673754 + ... + 14265681846.

It is an arithmetic number, because the mean of its divisors is an integer number (1030917806100).

Almost surely, 2^{115452130435400} is an apocalyptic number.

115452130435400 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 115452130435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148452164078400).

115452130435400 is an abundant number, since it is smaller than the sum of its proper divisors (181452197721400).

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

115452130435400 is a wasteful number, since it uses less digits than its factorization.

115452130435400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 115452130435400 its reverse (4534031254511), we get a palindrome (119986161689911).

The spelling of 115452130435400 in words is "one hundred fifteen trillion, four hundred fifty-two billion, one hundred thirty million, four hundred thirty-five thousand, four hundred".