136971 has 20 divisors (see below), whose sum is σ = 217800. Its totient is φ = 85536.

The previous prime is 136963. The next prime is 136973. The reversal of 136971 is 179631.

It is not a de Polignac number, because 136971 - 2³ = 136963 is a prime.

It is a super-2 number, since 2×136971² = 37522109682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136973) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1495 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2¹³⁶⁹⁷¹ is an apocalyptic number.

136971 is a deficient number, since it is larger than the sum of its proper divisors (80829).

136971 is an equidigital number, since it uses as much as digits as its factorization.

136971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 136971 is about 370.0959335091. The cubic root of 136971 is about 51.5477296537.

The spelling of 136971 in words is "one hundred thirty-six thousand, nine hundred seventy-one".