135010320 has 80 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 35233792.

The previous prime is 135010313. The next prime is 135010321. The reversal of 135010320 is 23010531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 135010320.

It is not an unprimeable number, because it can be changed into a prime (135010321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5296 + ... + 17264.

It is an arithmetic number, because the mean of its divisors is an integer number (5343408).

Almost surely, 2^135010320 is an apocalyptic number.

135010320 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 135010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

135010320 is an abundant number, since it is smaller than the sum of its proper divisors (292462320).

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

135010320 is a wasteful number, since it uses less digits than its factorization.

135010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12032 (or 12026 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 135010320 is about 11619.3941322257. The cubic root of 135010320 is about 513.0058554861.

Adding to 135010320 its reverse (23010531), we get a palindrome (158020851).

The spelling of 135010320 in words is "one hundred thirty-five million, ten thousand, three hundred twenty".