135672 has 16 divisors (see below), whose sum is σ = 339240. Its totient is φ = 45216.

The previous prime is 135671. The next prime is 135697. The reversal of 135672 is 276531.

135672 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5653 = 135672 / (1 + 3 + 5 + 6 + 7 + 2).

It is a d-powerful number, because it can be written as 1 + 3⁷ + 6 + 5 + 7⁴ + 2¹⁷ .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2803 + ... + 2850.

2¹³⁵⁶⁷² is an apocalyptic number.

135672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135672 is an abundant number, since it is smaller than the sum of its proper divisors (203568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135672 is a wasteful number, since it uses less digits than its factorization.

135672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5658 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 135672 is about 368.3368023969. The cubic root of 135672 is about 51.3842563581.

The spelling of 135672 in words is "one hundred thirty-five thousand, six hundred seventy-two".