135541574532 has 360 divisors, whose sum is σ = 463292629184. Its totient is φ = 33642335232.

The previous prime is 135541574527. The next prime is 135541574569. The reversal of 135541574532 is 235475145531.

135541574532 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 41 + 5 + 74 + 532 = 666.

It is a super-2 number, since 2×135541574532² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8512923 + ... + 8528829.

Almost surely, 2^135541574532 is an apocalyptic number.

135541574532 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 135541574532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231646314592).

135541574532 is an abundant number, since it is smaller than the sum of its proper divisors (327751054652).

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

135541574532 is a wasteful number, since it uses less digits than its factorization.

135541574532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15977 (or 15949 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The spelling of 135541574532 in words is "one hundred thirty-five billion, five hundred forty-one million, five hundred seventy-four thousand, five hundred thirty-two".