135363420 has 48 divisors (see below), whose sum is σ = 421132320. Its totient is φ = 36096768.

The previous prime is 135363413. The next prime is 135363433. The reversal of 135363420 is 24363531.

It is a happy number.

135363420 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 634 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 124797 + ... + 125876.

It is an arithmetic number, because the mean of its divisors is an integer number (8773590).

Almost surely, 2^135363420 is an apocalyptic number.

135363420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135363420 is an abundant number, since it is smaller than the sum of its proper divisors (285768900).

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

135363420 is a wasteful number, since it uses less digits than its factorization.

135363420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250691 (or 250683 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 135363420 is about 11634.5786343984. The cubic root of 135363420 is about 513.4526970791.

The spelling of 135363420 in words is "one hundred thirty-five million, three hundred sixty-three thousand, four hundred twenty".