135980 has 24 divisors (see below), whose sum is σ = 308112. Its totient is φ = 50112.

The previous prime is 135979. The next prime is 136013. The reversal of 135980 is 89531.

135980 = T₈₉ + T₉₀ + ... + T₁₁₄.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (12838).

2¹³⁵⁹⁸⁰ is an apocalyptic number.

135980 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 135980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154056).

135980 is an abundant number, since it is smaller than the sum of its proper divisors (172132).

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

135980 is a wasteful number, since it uses less digits than its factorization.

135980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 135980 is about 368.7546609875. The cubic root of 135980 is about 51.4231108253.

The spelling of 135980 in words is "one hundred thirty-five thousand, nine hundred eighty".