136782 has 32 divisors (see below), whose sum is σ = 324000. Its totient is φ = 42624.

The previous prime is 136777. The next prime is 136811. The reversal of 136782 is 287631.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

136782 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2¹³⁶⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000).

136782 is an abundant number, since it is smaller than the sum of its proper divisors (187218).

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

136782 is a wasteful number, since it uses less digits than its factorization.

136782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 136782 is about 369.8405061645. The cubic root of 136782 is about 51.5240092909.

The spelling of 136782 in words is "one hundred thirty-six thousand, seven hundred eighty-two".