135420800 has 96 divisors (see below), whose sum is σ = 338650200. Its totient is φ = 53504000.

The previous prime is 135420799. The next prime is 135420811. The reversal of 135420800 is 8024531.

It is a super-4 number, since 4×135420800⁴ (a number of 34 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322991 + ... + 323409.

Almost surely, 2^135420800 is an apocalyptic number.

135420800 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 135420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169325100).

135420800 is an abundant number, since it is smaller than the sum of its proper divisors (203229400).

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

135420800 is a wasteful number, since it uses less digits than its factorization.

135420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 135420800 is about 11637.0442982744. The cubic root of 135420800 is about 513.5252369962.

The spelling of 135420800 in words is "one hundred thirty-five million, four hundred twenty thousand, eight hundred".