135246720 has 256 divisors, whose sum is σ = 511142400. Its totient is φ = 29761536.

The previous prime is 135246689. The next prime is 135246743. The reversal of 135246720 is 27642531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 389587 + ... + 389933.

It is an arithmetic number, because the mean of its divisors is an integer number (1996650).

Almost surely, 2^135246720 is an apocalyptic number.

135246720 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 135246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255571200).

135246720 is an abundant number, since it is smaller than the sum of its proper divisors (375895680).

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

135246720 is a wasteful number, since it uses less digits than its factorization.

135246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 135246720 is about 11629.5623305437. The cubic root of 135246720 is about 513.3051014252.

The spelling of 135246720 in words is "one hundred thirty-five million, two hundred forty-six thousand, seven hundred twenty".