135372 has 24 divisors (see below), whose sum is σ = 327600. Its totient is φ = 43456.

The previous prime is 135367. The next prime is 135389. The reversal of 135372 is 273531.

It is a happy number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2¹³⁵³⁷² is an apocalyptic number.

135372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

135372 is an abundant number, since it is smaller than the sum of its proper divisors (192228).

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

135372 is a wasteful number, since it uses less digits than its factorization.

135372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 135372 is about 367.9293410425. The cubic root of 135372 is about 51.3463545236.

The spelling of 135372 in words is "one hundred thirty-five thousand, three hundred seventy-two".