131355 has 32 divisors (see below), whose sum is σ = 268800. Its totient is φ = 59616.

The previous prime is 131321. The next prime is 131357. The reversal of 131355 is 553131.

It is a happy number.

It is not a de Polignac number, because 131355 - 2⁹ = 130843 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2¹³¹³⁵⁵ is an apocalyptic number.

131355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131355 is an abundant number, since it is smaller than the sum of its proper divisors (137445).

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

131355 is a wasteful number, since it uses less digits than its factorization.

131355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 131355 is about 362.4293034510. The cubic root of 131355 is about 50.8333661799.

Adding to 131355 its reverse (553131), we get a palindrome (684486).

The spelling of 131355 in words is "one hundred thirty-one thousand, three hundred fifty-five".