128193516 has 60 divisors (see below), whose sum is σ = 365599080. Its totient is φ = 38845440.

The previous prime is 128193451. The next prime is 128193517. The reversal of 128193516 is 615391821.

128193516 is a `hidden beast` number, since 128 + 19 + 3 + 516 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (128193517) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14421 + ... + 21548.

It is an arithmetic number, because the mean of its divisors is an integer number (6093318).

Almost surely, 2^128193516 is an apocalyptic number.

It is an amenable number.

128193516 is an abundant number, since it is smaller than the sum of its proper divisors (237405564).

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

128193516 is a wasteful number, since it uses less digits than its factorization.

128193516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35996 (or 35985 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 128193516 is about 11322.2575487400. The cubic root of 128193516 is about 504.2222659111. Note that the first 4 decimals are identical.

The spelling of 128193516 in words is "one hundred twenty-eight million, one hundred ninety-three thousand, five hundred sixteen".