135356800 has 48 divisors (see below), whose sum is σ = 334381500. Its totient is φ = 54141440.

The previous prime is 135356789. The next prime is 135356801. The reversal of 135356800 is 8653531.

It is a super-3 number, since 3×135356800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135356801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17950 + ... + 24349.

Almost surely, 2^135356800 is an apocalyptic number.

135356800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135356800 is an abundant number, since it is smaller than the sum of its proper divisors (199024700).

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

135356800 is an equidigital number, since it uses as much as digits as its factorization.

135356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42323 (or 42306 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 135356800 is about 11634.2941341536. The cubic root of 135356800 is about 513.4443267422. Note that the first 3 decimals are identical.

The spelling of 135356800 in words is "one hundred thirty-five million, three hundred fifty-six thousand, eight hundred".