115352656135040 has 256 divisors, whose sum is σ = 300342309696000. Its totient is φ = 42197692981248.

The previous prime is 115352656134931. The next prime is 115352656135063. The reversal of 115352656135040 is 40531656253511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202915899 + ... + 2202968261.

It is an arithmetic number, because the mean of its divisors is an integer number (1173212147250).

Almost surely, 2^{115352656135040} is an apocalyptic number.

115352656135040 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 115352656135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150171154848000).

115352656135040 is an abundant number, since it is smaller than the sum of its proper divisors (184989653560960).

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

115352656135040 is a wasteful number, since it uses less digits than its factorization.

115352656135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58677 (or 58665 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 47.

The spelling of 115352656135040 in words is "one hundred fifteen trillion, three hundred fifty-two billion, six hundred fifty-six million, one hundred thirty-five thousand, forty".