135780300 has 90 divisors (see below), whose sum is σ = 440172348. Its totient is φ = 36205920.

The previous prime is 135780263. The next prime is 135780301. The reversal of 135780300 is 3087531.

135780300 is a `hidden beast` number, since 1 + 357 + 8 + 0 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135780301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 282 + ... + 16481.

Almost surely, 2^135780300 is an apocalyptic number.

135780300 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 135780300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220086174).

135780300 is an abundant number, since it is smaller than the sum of its proper divisors (304392048).

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

135780300 is a wasteful number, since it uses less digits than its factorization.

135780300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16789 (or 16773 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135780300 is about 11652.4804226396. The cubic root of 135780300 is about 513.9792519395.

The spelling of 135780300 in words is "one hundred thirty-five million, seven hundred eighty thousand, three hundred".