135311000 has 64 divisors (see below), whose sum is σ = 345440160. Its totient is φ = 49200000.

The previous prime is 135310969. The next prime is 135311017. The reversal of 135311000 is 113531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4850 + ... + 17150.

Almost surely, 2^135311000 is an apocalyptic number.

135311000 is a gapful number since it is divisible by the number (10) 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 135311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172720080).

135311000 is an abundant number, since it is smaller than the sum of its proper divisors (210129160).

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

135311000 is a wasteful number, since it uses less digits than its factorization.

135311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12333 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 135311000 is about 11632.3256488116. The cubic root of 135311000 is about 513.3864096841.

Adding to 135311000 its reverse (113531), we get a palindrome (135424531).

The spelling of 135311000 in words is "one hundred thirty-five million, three hundred eleven thousand".