115233001400 has 96 divisors (see below), whose sum is σ = 292757690880. Its totient is φ = 41833392000.

The previous prime is 115233001361. The next prime is 115233001423. The reversal of 115233001400 is 4100332511.

It is a super-2 number, since 2×115233001400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1292255 + ... + 1378545.

It is an arithmetic number, because the mean of its divisors is an integer number (3049559280).

Almost surely, 2^115233001400 is an apocalyptic number.

115233001400 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 115233001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146378845440).

115233001400 is an abundant number, since it is smaller than the sum of its proper divisors (177524689480).

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

115233001400 is a wasteful number, since it uses less digits than its factorization.

115233001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86925 (or 86916 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 115233001400 its reverse (4100332511), we get a palindrome (119333333911).

The spelling of 115233001400 in words is "one hundred fifteen billion, two hundred thirty-three million, one thousand, four hundred".