135076720 has 40 divisors (see below), whose sum is σ = 316475280. Its totient is φ = 53614080.

The previous prime is 135076699. The next prime is 135076729. The reversal of 135076720 is 27670531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135076729) 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 7 ways as a sum of consecutive naturals, for example, 4036 + ... + 16924.

It is an arithmetic number, because the mean of its divisors is an integer number (7911882).

Almost surely, 2^135076720 is an apocalyptic number.

135076720 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 135076720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158237640).

135076720 is an abundant number, since it is smaller than the sum of its proper divisors (181398560).

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

135076720 is a wasteful number, since it uses less digits than its factorization.

135076720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 135076720 is about 11622.2510728344. The cubic root of 135076720 is about 513.0899429000.

The spelling of 135076720 in words is "one hundred thirty-five million, seventy-six thousand, seven hundred twenty".