134977 has 6 divisors (see below), whose sum is σ = 140082. Its totient is φ = 130032.

The previous prime is 134951. The next prime is 134989. The reversal of 134977 is 779431.

It can be written as a sum of positive squares in only one way, i.e., 118336 + 16641 = 344^2 + 129^2 .

It is not a de Polignac number, because 134977 - 2¹¹ = 132929 is a prime.

It is a d-powerful number, because it can be written as 1 + 3¹⁰ + 9⁵ + 4³ + 7 + 7⁵ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1813 + ... + 1885.

It is an arithmetic number, because the mean of its divisors is an integer number (23347).

2¹³⁴⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

134977 is a deficient number, since it is larger than the sum of its proper divisors (5105).

134977 is an frugal number, since it uses more digits than its factorization.

134977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 116 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 134977 is about 367.3921610487. The cubic root of 134977 is about 51.2963649425.

It can be divided in two parts, 134 and 977, that added together give a palindrome (1111).

The spelling of 134977 in words is "one hundred thirty-four thousand, nine hundred seventy-seven".