135852720 has 80 divisors (see below), whose sum is σ = 439471872. Its totient is φ = 34650880.

The previous prime is 135852713. The next prime is 135852799. The reversal of 135852720 is 27258531.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6786 + ... + 17825.

Almost surely, 2^135852720 is an apocalyptic number.

135852720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135852720 is an abundant number, since it is smaller than the sum of its proper divisors (303619152).

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

135852720 is a wasteful number, since it uses less digits than its factorization.

135852720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24650 (or 24644 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 135852720 is about 11655.5875012802. The cubic root of 135852720 is about 514.0706146328.

The spelling of 135852720 in words is "one hundred thirty-five million, eight hundred fifty-two thousand, seven hundred twenty".