135337364075232 has 432 divisors, whose sum is σ = 426685428449280. Its totient is φ = 40658638056960.

The previous prime is 135337364075189. The next prime is 135337364075239. The reversal of 135337364075232 is 232570463733531.

135337364075232 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 3 + 73 + 6 + 40 + 7 + 523 + 2 = 666.

It is a super-2 number, since 2×135337364075232² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135337364075239) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2228882569 + ... + 2228943287.

It is an arithmetic number, because the mean of its divisors is an integer number (987697751040).

Almost surely, 2^{135337364075232} is an apocalyptic number.

135337364075232 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 135337364075232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213342714224640).

135337364075232 is an abundant number, since it is smaller than the sum of its proper divisors (291348064374048).

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

135337364075232 is a wasteful number, since it uses less digits than its factorization.

135337364075232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61307 (or 61285 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 54.

The spelling of 135337364075232 in words is "one hundred thirty-five trillion, three hundred thirty-seven billion, three hundred sixty-four million, seventy-five thousand, two hundred thirty-two".