133776 has 30 divisors (see below), whose sum is σ = 374790. Its totient is φ = 44544.

The previous prime is 133769. The next prime is 133781. The reversal of 133776 is 677331.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 57600 = 276^2 + 240^2 .

It is a nialpdrome in base 12.

It is an unprimeable number.

133776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 321 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (12493).

2¹³³⁷⁷⁶ is an apocalyptic number.

133776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133776 is an abundant number, since it is smaller than the sum of its proper divisors (241014).

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

133776 is a wasteful number, since it uses less digits than its factorization.

133776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 133776 is about 365.7540156991. The cubic root of 133776 is about 51.1437696479.

It can be divided in two parts, 133 and 776, that added together give a palindrome (909).

The spelling of 133776 in words is "one hundred thirty-three thousand, seven hundred seventy-six".