190129680 has 400 divisors, whose sum is σ = 742337904. Its totient is φ = 44789760.

The previous prime is 190129651. The next prime is 190129697. The reversal of 190129680 is 86921091.

It can be written as a sum of positive squares in 8 ways, for example, as 21233664 + 168896016 = 4608^2 + 12996^2 .

It is a super-2 number, since 2×190129680² = 72298590433804800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3116850 + ... + 3116910.

Almost surely, 2^190129680 is an apocalyptic number.

190129680 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 190129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371168952).

190129680 is an abundant number, since it is smaller than the sum of its proper divisors (552208224).

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

190129680 is a wasteful number, since it uses less digits than its factorization.

190129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 190129680 is about 13788.7519377208. The cubic root of 190129680 is about 575.0204706008.

The spelling of 190129680 in words is "one hundred ninety million, one hundred twenty-nine thousand, six hundred eighty".