135427600 has 120 divisors (see below), whose sum is σ = 405741888. Its totient is φ = 42201600.

The previous prime is 135427583. The next prime is 135427603. The reversal of 135427600 is 6724531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (135427603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28602 + ... + 32998.

Almost surely, 2^135427600 is an apocalyptic number.

135427600 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 135427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202870944).

135427600 is an abundant number, since it is smaller than the sum of its proper divisors (270314288).

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

135427600 is a wasteful number, since it uses less digits than its factorization.

135427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 135427600 is about 11637.3364650164. The cubic root of 135427600 is about 513.5338322124.

The spelling of 135427600 in words is "one hundred thirty-five million, four hundred twenty-seven thousand, six hundred".