133787 has 4 divisors (see below), whose sum is σ = 134520. Its totient is φ = 133056.

The previous prime is 133781. The next prime is 133801. The reversal of 133787 is 787331.

133787 is nontrivially palindromic in base 13 and base 15.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 133787 - 2⁶ = 133723 is a prime.

It is a super-2 number, since 2×133787² = 35797922738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133781) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (33630).

2¹³³⁷⁸⁷ is an apocalyptic number.

133787 is a deficient number, since it is larger than the sum of its proper divisors (733).

133787 is an equidigital number, since it uses as much as digits as its factorization.

133787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732.

The product of its digits is 3528, while the sum is 29.

The square root of 133787 is about 365.7690528189. The cubic root of 133787 is about 51.1451714092.

The spelling of 133787 in words is "one hundred thirty-three thousand, seven hundred eighty-seven".