135172320 has 48 divisors (see below), whose sum is σ = 425794320. Its totient is φ = 36045824.

The previous prime is 135172319. The next prime is 135172337. The reversal of 135172320 is 23271531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140325 + ... + 141284.

It is an arithmetic number, because the mean of its divisors is an integer number (8870715).

Almost surely, 2^135172320 is an apocalyptic number.

135172320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135172320 is an abundant number, since it is smaller than the sum of its proper divisors (290622000).

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

135172320 is a wasteful number, since it uses less digits than its factorization.

135172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281627 (or 281619 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135172320 is about 11626.3631458853. The cubic root of 135172320 is about 513.2109601291.

The spelling of 135172320 in words is "one hundred thirty-five million, one hundred seventy-two thousand, three hundred twenty".