135367200 has 180 divisors, whose sum is σ = 493894170. Its totient is φ = 36080640.

The previous prime is 135367189. The next prime is 135367217. The reversal of 135367200 is 2763531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 122146704 + 13220496 = 11052^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 63756 + ... + 65844.

Almost surely, 2^135367200 is an apocalyptic number.

135367200 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 135367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246947085).

135367200 is an abundant number, since it is smaller than the sum of its proper divisors (358526970).

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

135367200 is a wasteful number, since it uses less digits than its factorization.

135367200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135367200 is about 11634.7410800585. The cubic root of 135367200 is about 513.4574763937.

It can be divided in two parts, 13536 and 7200, that added together give a 4-th power (20736 = 12⁴).

The spelling of 135367200 in words is "one hundred thirty-five million, three hundred sixty-seven thousand, two hundred".