135346820 has 72 divisors (see below), whose sum is σ = 333014976. Its totient is φ = 46070976.

The previous prime is 135346817. The next prime is 135346831. The reversal of 135346820 is 28643531.

It is a super-2 number, since 2×135346820² = 36637523368224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163247 + ... + 164073.

It is an arithmetic number, because the mean of its divisors is an integer number (4625208).

Almost surely, 2^135346820 is an apocalyptic number.

135346820 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 135346820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166507488).

135346820 is an abundant number, since it is smaller than the sum of its proper divisors (197668156).

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

135346820 is a wasteful number, since it uses less digits than its factorization.

135346820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 135346820 is about 11633.8652218427. The cubic root of 135346820 is about 513.4317075010.

The spelling of 135346820 in words is "one hundred thirty-five million, three hundred forty-six thousand, eight hundred twenty".