115372942128 has 240 divisors, whose sum is σ = 343488119520. Its totient is φ = 36048789504.

The previous prime is 115372942121. The next prime is 115372942219. The reversal of 115372942128 is 821249273511.

115372942128 is a `hidden beast` number, since 1 + 1 + 537 + 2 + 94 + 2 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (115372942121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144758626 + ... + 144759422.

It is an arithmetic number, because the mean of its divisors is an integer number (1431200498).

Almost surely, 2^115372942128 is an apocalyptic number.

115372942128 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 115372942128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171744059760).

115372942128 is an abundant number, since it is smaller than the sum of its proper divisors (228115177392).

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

115372942128 is a wasteful number, since it uses less digits than its factorization.

115372942128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1315 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

It can be divided in two parts, 11537 and 2942128, that added together give a triangular number (2953665 = T₂₄₃₀).

The spelling of 115372942128 in words is "one hundred fifteen billion, three hundred seventy-two million, nine hundred forty-two thousand, one hundred twenty-eight".