135168800 has 144 divisors (see below), whose sum is σ = 365179752. Its totient is φ = 48537600.

The previous prime is 135168799. The next prime is 135168911. The reversal of 135168800 is 8861531.

It can be written as a sum of positive squares in 12 ways, for example, as 31047184 + 104121616 = 5572^2 + 10204^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426242 + ... + 426558.

Almost surely, 2^135168800 is an apocalyptic number.

135168800 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 135168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182589876).

135168800 is an abundant number, since it is smaller than the sum of its proper divisors (230010952).

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

135168800 is a wasteful number, since it uses less digits than its factorization.

135168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 135168800 is about 11626.2117648011. The cubic root of 135168800 is about 513.2065052766.

The spelling of 135168800 in words is "one hundred thirty-five million, one hundred sixty-eight thousand, eight hundred".