180129690 has 256 divisors, whose sum is σ = 566899200. Its totient is φ = 40310784.

The previous prime is 180129673. The next prime is 180129713. The reversal of 180129690 is 96921081.

180129690 is a nontrivial binomial coefficient, being equal to C(18981, 2).

It is a super-2 number, since 2×180129690² = 64893410438992200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2467494 + ... + 2467566.

It is an arithmetic number, because the mean of its divisors is an integer number (2214450).

Almost surely, 2^180129690 is an apocalyptic number.

180129690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180129690 is the 18980-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180129690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283449600).

180129690 is an abundant number, since it is smaller than the sum of its proper divisors (386769510).

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

180129690 is a wasteful number, since it uses less digits than its factorization.

180129690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

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

The square root of 180129690 is about 13421.2402556545. The cubic root of 180129690 is about 564.7571880660.

The spelling of 180129690 in words is "one hundred eighty million, one hundred twenty-nine thousand, six hundred ninety".