135306720 has 96 divisors (see below), whose sum is σ = 473588640. Its totient is φ = 36080640.

The previous prime is 135306709. The next prime is 135306737. The reversal of 135306720 is 27603531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11341 + ... + 19980.

It is an arithmetic number, because the mean of its divisors is an integer number (4933215).

Almost surely, 2^135306720 is an apocalyptic number.

135306720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135306720 is an abundant number, since it is smaller than the sum of its proper divisors (338281920).

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

135306720 is a wasteful number, since it uses less digits than its factorization.

135306720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31345 (or 31331 counting only the distinct ones).

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

The square root of 135306720 is about 11632.1416772665. The cubic root of 135306720 is about 513.3809966800.

The spelling of 135306720 in words is "one hundred thirty-five million, three hundred six thousand, seven hundred twenty".