136980 has 36 divisors (see below), whose sum is σ = 416052. Its totient is φ = 36480.

The previous prime is 136979. The next prime is 136987. The reversal of 136980 is 89631.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 121104 = 126^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136980.

It is not an unprimeable number, because it can be changed into a prime (136987) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 201 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (11557).

2¹³⁶⁹⁸⁰ is an apocalyptic number.

136980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136980 is an abundant number, since it is smaller than the sum of its proper divisors (279072).

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

136980 is a wasteful number, since it uses less digits than its factorization.

136980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 136980 is about 370.1080923190. The cubic root of 136980 is about 51.5488586503.

The spelling of 136980 in words is "one hundred thirty-six thousand, nine hundred eighty".