190142688000 has 576 divisors, whose sum is σ = 672767327232. Its totient is φ = 47433318400.

The previous prime is 190142687941. The next prime is 190142688013. The reversal of 190142688000 is 886241091.

It is a self number, because there is not a number n which added to its sum of digits gives 190142688000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429215779 + ... + 429216221.

It is an arithmetic number, because the mean of its divisors is an integer number (1167998832).

Almost surely, 2^190142688000 is an apocalyptic number.

190142688000 is a gapful number since it is divisible by the number (10) 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 190142688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336383663616).

190142688000 is an abundant number, since it is smaller than the sum of its proper divisors (482624639232).

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

190142688000 is a wasteful number, since it uses less digits than its factorization.

190142688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 190142688000 in words is "one hundred ninety billion, one hundred forty-two million, six hundred eighty-eight thousand".