135537120 has 144 divisors (see below), whose sum is σ = 470407392. Its totient is φ = 35527680.

The previous prime is 135537119. The next prime is 135537131. The reversal of 135537120 is 21735531.

135537120 is a `hidden beast` number, since 1 + 3 + 5 + 537 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87069 + ... + 88611.

It is an arithmetic number, because the mean of its divisors is an integer number (3266718).

Almost surely, 2^135537120 is an apocalyptic number.

135537120 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 135537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235203696).

135537120 is an abundant number, since it is smaller than the sum of its proper divisors (334870272).

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

135537120 is a wasteful number, since it uses less digits than its factorization.

135537120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135537120 is about 11642.0410581650. The cubic root of 135537120 is about 513.6722261369.

The spelling of 135537120 in words is "one hundred thirty-five million, five hundred thirty-seven thousand, one hundred twenty".