135337 has 8 divisors (see below), whose sum is σ = 151200. Its totient is φ = 120384.

The previous prime is 135329. The next prime is 135347. The reversal of 135337 is 733531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 135337 - 2³ = 135329 is a prime.

It is a super-2 number, since 2×135337² = 36632207138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135347) 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, 114 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2¹³⁵³³⁷ is an apocalyptic number.

135337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135337 is a deficient number, since it is larger than the sum of its proper divisors (15863).

135337 is a wasteful number, since it uses less digits than its factorization.

135337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

The product of its digits is 945, while the sum is 22.

The square root of 135337 is about 367.8817744874. The cubic root of 135337 is about 51.3419289967.

Adding to 135337 its reverse (733531), we get a palindrome (868868).

The spelling of 135337 in words is "one hundred thirty-five thousand, three hundred thirty-seven".