135529130880 has 768 divisors, whose sum is σ = 567147744000. Its totient is φ = 30321008640.

The previous prime is 135529130851. The next prime is 135529130917. The reversal of 135529130880 is 88031925531.

135529130880 is a `hidden beast` number, since 1 + 3 + 55 + 291 + 308 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32121411 + ... + 32125629.

It is an arithmetic number, because the mean of its divisors is an integer number (738473625).

Almost surely, 2^135529130880 is an apocalyptic number.

135529130880 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 135529130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283573872000).

135529130880 is an abundant number, since it is smaller than the sum of its proper divisors (431618613120).

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

135529130880 is a wasteful number, since it uses less digits than its factorization.

135529130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 135529130880 in words is "one hundred thirty-five billion, five hundred twenty-nine million, one hundred thirty thousand, eight hundred eighty".