190135788530688 has 6336 divisors, whose sum is σ = 847803100225536. Its totient is φ = 40131624960000.

The previous prime is 190135788530669. The next prime is 190135788530741. The reversal of 190135788530688 is 886035887531091.

190135788530688 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 3 + 5 + 7 + 8 + 8 + 530 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1259177407413 + ... + 1259177407563.

Almost surely, 2^{190135788530688} is an apocalyptic number.

190135788530688 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 190135788530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423901550112768).

190135788530688 is an abundant number, since it is smaller than the sum of its proper divisors (657667311694848).

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

190135788530688 is a wasteful number, since it uses less digits than its factorization.

190135788530688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 190135788530688 in words is "one hundred ninety trillion, one hundred thirty-five billion, seven hundred eighty-eight million, five hundred thirty thousand, six hundred eighty-eight".