135113000 has 128 divisors (see below), whose sum is σ = 351786240. Its totient is φ = 48160000.

The previous prime is 135112997. The next prime is 135113029. The reversal of 135113000 is 311531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780914 + ... + 781086.

It is an arithmetic number, because the mean of its divisors is an integer number (2748330).

Almost surely, 2^135113000 is an apocalyptic number.

135113000 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 135113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175893120).

135113000 is an abundant number, since it is smaller than the sum of its proper divisors (216673240).

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

135113000 is a wasteful number, since it uses less digits than its factorization.

135113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

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

The square root of 135113000 is about 11623.8117672302. The cubic root of 135113000 is about 513.1358754061.

Adding to 135113000 its reverse (311531), we get a palindrome (135424531).

The spelling of 135113000 in words is "one hundred thirty-five million, one hundred thirteen thousand".