133977 has 16 divisors (see below), whose sum is σ = 196992. Its totient is φ = 80640.

The previous prime is 133967. The next prime is 133979. The reversal of 133977 is 779331.

It is not a de Polignac number, because 133977 - 2¹⁰ = 132953 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133977.

It is not an unprimeable number, because it can be changed into a prime (133979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2¹³³⁹⁷⁷ is an apocalyptic number.

133977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133977 is a deficient number, since it is larger than the sum of its proper divisors (63015).

133977 is a wasteful number, since it uses less digits than its factorization.

133977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its digits is 3969, while the sum is 30.

The square root of 133977 is about 366.0286874003. The cubic root of 133977 is about 51.1693715332.

The spelling of 133977 in words is "one hundred thirty-three thousand, nine hundred seventy-seven".