135580032 has 384 divisors, whose sum is σ = 504092160. Its totient is φ = 34062336.

The previous prime is 135579979. The next prime is 135580043. The reversal of 135580032 is 230085531.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 135579978 and 135580005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153003 + ... + 3153045.

It is an arithmetic number, because the mean of its divisors is an integer number (1312740).

Almost surely, 2^135580032 is an apocalyptic number.

135580032 is a gapful number since it is divisible by the number (12) 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 135580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046080).

135580032 is an abundant number, since it is smaller than the sum of its proper divisors (368512128).

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

135580032 is a wasteful number, since it uses less digits than its factorization.

135580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135580032 is about 11643.8838881191. The cubic root of 135580032 is about 513.7264311563.

The spelling of 135580032 in words is "one hundred thirty-five million, five hundred eighty thousand, thirty-two".