135591120 has 120 divisors (see below), whose sum is σ = 520430976. Its totient is φ = 30991104.

The previous prime is 135591109. The next prime is 135591121. The reversal of 135591120 is 21195531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135591121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8412 + ... + 18491.

Almost surely, 2^135591120 is an apocalyptic number.

135591120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135591120 is an abundant number, since it is smaller than the sum of its proper divisors (384839856).

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

135591120 is a wasteful number, since it uses less digits than its factorization.

135591120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26929 (or 26920 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 135591120 is about 11644.3600081756. The cubic root of 135591120 is about 513.7404352918.

The spelling of 135591120 in words is "one hundred thirty-five million, five hundred ninety-one thousand, one hundred twenty".