115158371328 has 1760 divisors, whose sum is σ = 492679165440. Its totient is φ = 25798901760.

The previous prime is 115158371323. The next prime is 115158371369. The reversal of 115158371328 is 823173851511.

115158371328 is a `hidden beast` number, since 1 + 1 + 51 + 583 + 7 + 13 + 2 + 8 = 666.

It is a super-2 number, since 2×115158371328² (a number of 23 digits) contains 22 as substring.

Its product of digits (201600) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115158371323) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1577511900 + ... + 1577511972.

It is an arithmetic number, because the mean of its divisors is an integer number (279931344).

Almost surely, 2^115158371328 is an apocalyptic number.

115158371328 is a gapful number since it is divisible by the number (18) 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 115158371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246339582720).

115158371328 is an abundant number, since it is smaller than the sum of its proper divisors (377520794112).

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

115158371328 is a wasteful number, since it uses less digits than its factorization.

115158371328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 115158371328 in words is "one hundred fifteen billion, one hundred fifty-eight million, three hundred seventy-one thousand, three hundred twenty-eight".