190135680 has 384 divisors, whose sum is σ = 736750080. Its totient is φ = 41545728.

The previous prime is 190135669. The next prime is 190135691. The reversal of 190135680 is 86531091.

It is an interprime number because it is at equal distance from previous prime (190135669) and next prime (190135691).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045417 + ... + 4045463.

It is an arithmetic number, because the mean of its divisors is an integer number (1918620).

Almost surely, 2^190135680 is an apocalyptic number.

190135680 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 190135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368375040).

190135680 is an abundant number, since it is smaller than the sum of its proper divisors (546614400).

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

190135680 is a wasteful number, since it uses less digits than its factorization.

190135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 190135680 is about 13788.9695046439. The cubic root of 190135680 is about 575.0265192558.

The spelling of 190135680 in words is "one hundred ninety million, one hundred thirty-five thousand, six hundred eighty".