135552900 has 144 divisors (see below), whose sum is σ = 474719616. Its totient is φ = 29153280.

The previous prime is 135552887. The next prime is 135552943. The reversal of 135552900 is 9255531.

135552900 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33802 + ... + 37598.

It is an arithmetic number, because the mean of its divisors is an integer number (3296664).

Almost surely, 2^135552900 is an apocalyptic number.

135552900 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 135552900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237359808).

135552900 is an abundant number, since it is smaller than the sum of its proper divisors (339166716).

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

135552900 is a wasteful number, since it uses less digits than its factorization.

135552900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 135552900 is about 11642.7187546552. The cubic root of 135552900 is about 513.6921602409.

The spelling of 135552900 in words is "one hundred thirty-five million, five hundred fifty-two thousand, nine hundred".