136972 has 18 divisors (see below), whose sum is σ = 264404. Its totient is φ = 62040.

The previous prime is 136963. The next prime is 136973. The reversal of 136972 is 279631.

It is a super-2 number, since 2×136972² = 37522657568, 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 136972.

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

136972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 343 + ... + 625.

2¹³⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

136972 is a deficient number, since it is larger than the sum of its proper divisors (127432).

136972 is a wasteful number, since it uses less digits than its factorization.

136972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 136972 is about 370.0972845077. The cubic root of 136972 is about 51.5478551002.

It can be divided in two parts, 1369 and 72, that added together give a palindrome (1441).

The spelling of 136972 in words is "one hundred thirty-six thousand, nine hundred seventy-two".