135513820 has 48 divisors (see below), whose sum is σ = 308403648. Its totient is φ = 49720320.

The previous prime is 135513811. The next prime is 135513823. The reversal of 135513820 is 28315531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135513823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41860 + ... + 44980.

It is an arithmetic number, because the mean of its divisors is an integer number (6425076).

Almost surely, 2^135513820 is an apocalyptic number.

135513820 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 135513820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154201824).

135513820 is an abundant number, since it is smaller than the sum of its proper divisors (172889828).

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

135513820 is a wasteful number, since it uses less digits than its factorization.

135513820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 135513820 is about 11641.0403315168. The cubic root of 135513820 is about 513.6427895545.

It can be divided in two parts, 13551 and 3820, that added together give a palindrome (17371).

The spelling of 135513820 in words is "one hundred thirty-five million, five hundred thirteen thousand, eight hundred twenty".