136576 has 32 divisors (see below), whose sum is σ = 299880. Its totient is φ = 61440.

The previous prime is 136573. The next prime is 136601. The reversal of 136576 is 675631.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1360 + ... + 1456.

2¹³⁶⁵⁷⁶ is an apocalyptic number.

136576 is a gapful number since it is divisible by the number (16) 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 136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149940).

136576 is an abundant number, since it is smaller than the sum of its proper divisors (163304).

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

136576 is an equidigital number, since it uses as much as digits as its factorization.

136576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 136576 is about 369.5619027984. The cubic root of 136576 is about 51.4981304502.

It can be divided in two parts, 1365 and 76, that multiplied together give a triangular number (103740 = T₄₅₅).

The spelling of 136576 in words is "one hundred thirty-six thousand, five hundred seventy-six".