135971 has 8 divisors (see below), whose sum is σ = 152064. Its totient is φ = 120520.

The previous prime is 135937. The next prime is 135977. The reversal of 135971 is 179531.

135971 = T₁₀₀ + T₁₀₁ + ... + T₁₂₁.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135971 - 2¹⁰ = 134947 is a prime.

It is a super-2 number, since 2×135971² = 36976225682, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135971.

It is not an unprimeable number, because it can be changed into a prime (135977) 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 7 ways as a sum of consecutive naturals, for example, 386 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (19008).

2¹³⁵⁹⁷¹ is an apocalyptic number.

135971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135971 is a deficient number, since it is larger than the sum of its proper divisors (16093).

135971 is a wasteful number, since it uses less digits than its factorization.

135971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its digits is 945, while the sum is 26.

The square root of 135971 is about 368.7424575500. The cubic root of 135971 is about 51.4219763001.

The spelling of 135971 in words is "one hundred thirty-five thousand, nine hundred seventy-one".