135990180 has 72 divisors (see below), whose sum is σ = 425827584. Its totient is φ = 35092800.

The previous prime is 135990161. The next prime is 135990181. The reversal of 135990180 is 81099531.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (135990181) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6606 + ... + 17765.

It is an arithmetic number, because the mean of its divisors is an integer number (5914272).

Almost surely, 2^135990180 is an apocalyptic number.

135990180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135990180 is an abundant number, since it is smaller than the sum of its proper divisors (289837404).

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

135990180 is a wasteful number, since it uses less digits than its factorization.

135990180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24417 (or 24412 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 135990180 is about 11661.4827530636. The cubic root of 135990180 is about 514.2439403900.

The spelling of 135990180 in words is "one hundred thirty-five million, nine hundred ninety thousand, one hundred eighty".