136880 has 40 divisors (see below), whose sum is σ = 334800. Its totient is φ = 51968.

The previous prime is 136879. The next prime is 136883. The reversal of 136880 is 88631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×136880² = 37472268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136883) 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 7 ways as a sum of consecutive naturals, for example, 2291 + ... + 2349.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2¹³⁶⁸⁸⁰ is an apocalyptic number.

136880 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 136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

136880 is an abundant number, since it is smaller than the sum of its proper divisors (197920).

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

136880 is a wasteful number, since it uses less digits than its factorization.

136880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 136880 is about 369.9729719858. The cubic root of 136880 is about 51.5363114639.

The spelling of 136880 in words is "one hundred thirty-six thousand, eight hundred eighty".