135907072 has 72 divisors (see below), whose sum is σ = 312732000. Its totient is φ = 57741312.

The previous prime is 135907067. The next prime is 135907081. The reversal of 135907072 is 270709531.

It is a super-2 number, since 2×135907072² = 36941464439226368, which contains 22 as substring.

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, 266754 + ... + 267262.

It is an arithmetic number, because the mean of its divisors is an integer number (4343500).

Almost surely, 2^135907072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156366000).

135907072 is an abundant number, since it is smaller than the sum of its proper divisors (176824928).

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

135907072 is an equidigital number, since it uses as much as digits as its factorization.

135907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 135907072 is about 11657.9188537234. The cubic root of 135907072 is about 514.1391620045.

The spelling of 135907072 in words is "one hundred thirty-five million, nine hundred seven thousand, seventy-two".