134772 has 24 divisors (see below), whose sum is σ = 343392. Its totient is φ = 40800.

The previous prime is 134753. The next prime is 134777. The reversal of 134772 is 277431.

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3⁶ + 7 + 4⁷ + 7⁶ + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2¹³⁴⁷⁷² is an apocalyptic number.

134772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134772 is an abundant number, since it is smaller than the sum of its proper divisors (208620).

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

134772 is a wasteful number, since it uses less digits than its factorization.

134772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 134772 is about 367.1130616036. The cubic root of 134772 is about 51.2703825331.

The spelling of 134772 in words is "one hundred thirty-four thousand, seven hundred seventy-two".