135772800 has 96 divisors (see below), whose sum is σ = 447233280. Its totient is φ = 36203520.

The previous prime is 135772799. The next prime is 135772807. The reversal of 135772800 is 8277531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (135772807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2529 + ... + 16671.

It is an arithmetic number, because the mean of its divisors is an integer number (4658680).

Almost surely, 2^135772800 is an apocalyptic number.

135772800 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 135772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223616640).

135772800 is an abundant number, since it is smaller than the sum of its proper divisors (311460480).

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

135772800 is a wasteful number, since it uses less digits than its factorization.

135772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14170 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 135772800 is about 11652.1585983027. The cubic root of 135772800 is about 513.9697883296.

The spelling of 135772800 in words is "one hundred thirty-five million, seven hundred seventy-two thousand, eight hundred".