135561800 has 96 divisors (see below), whose sum is σ = 352075680. Its totient is φ = 48115200.

The previous prime is 135561799. The next prime is 135561809. The reversal of 135561800 is 8165531.

It is not an unprimeable number, because it can be changed into a prime (135561809) 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 23 ways as a sum of consecutive naturals, for example, 93884 + ... + 95316.

It is an arithmetic number, because the mean of its divisors is an integer number (3667455).

Almost surely, 2^135561800 is an apocalyptic number.

135561800 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 135561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176037840).

135561800 is an abundant number, since it is smaller than the sum of its proper divisors (216513880).

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

135561800 is a wasteful number, since it uses less digits than its factorization.

135561800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 135561800 is about 11643.1009615136. The cubic root of 135561800 is about 513.7034024944.

The spelling of 135561800 in words is "one hundred thirty-five million, five hundred sixty-one thousand, eight hundred".