135126420 has 96 divisors (see below), whose sum is σ = 444528000. Its totient is φ = 30236160.

The previous prime is 135126413. The next prime is 135126443. The reversal of 135126420 is 24621531.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 706 + ... + 16454.

It is an arithmetic number, because the mean of its divisors is an integer number (4630500).

Almost surely, 2^135126420 is an apocalyptic number.

135126420 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 135126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222264000).

135126420 is an abundant number, since it is smaller than the sum of its proper divisors (309401580).

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

135126420 is a wasteful number, since it uses less digits than its factorization.

135126420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135126420 is about 11624.3890162021. The cubic root of 135126420 is about 513.1528637923.

Adding to 135126420 its reverse (24621531), we get a palindrome (159747951).

The spelling of 135126420 in words is "one hundred thirty-five million, one hundred twenty-six thousand, four hundred twenty".