135547200 has 126 divisors (see below), whose sum is σ = 481817934. Its totient is φ = 36142080.

The previous prime is 135547199. The next prime is 135547207. The reversal of 135547200 is 2745531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 46131264 + 89415936 = 6792^2 + 9456^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135547207) 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 17 ways as a sum of consecutive naturals, for example, 9694 + ... + 19106.

Almost surely, 2^135547200 is an apocalyptic number.

135547200 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 135547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240908967).

135547200 is an abundant number, since it is smaller than the sum of its proper divisors (346270734).

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

135547200 is a wasteful number, since it uses less digits than its factorization.

135547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135547200 is about 11642.4739638962. The cubic root of 135547200 is about 513.6849598875.

The spelling of 135547200 in words is "one hundred thirty-five million, five hundred forty-seven thousand, two hundred".