115141552128 has 288 divisors, whose sum is σ = 341497840320. Its totient is φ = 37362401280.

The previous prime is 115141552111. The next prime is 115141552147. The reversal of 115141552128 is 821255141511.

115141552128 is a `hidden beast` number, since 1 + 1 + 51 + 41 + 552 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115141552092 and 115141552101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111678973 + ... + 111680003.

It is an arithmetic number, because the mean of its divisors is an integer number (1185756390).

Almost surely, 2^115141552128 is an apocalyptic number.

115141552128 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 115141552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748920160).

115141552128 is an abundant number, since it is smaller than the sum of its proper divisors (226356288192).

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

115141552128 is a wasteful number, since it uses less digits than its factorization.

115141552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1192 counting only the distinct ones).

The product of its digits is 16000, while the sum is 36.

Adding to 115141552128 its reverse (821255141511), we get a palindrome (936396693639).

The spelling of 115141552128 in words is "one hundred fifteen billion, one hundred forty-one million, five hundred fifty-two thousand, one hundred twenty-eight".