135988225786512 has 640 divisors, whose sum is σ = 437393090764800. Its totient is φ = 40099533926400.

The previous prime is 135988225786489. The next prime is 135988225786561. The reversal of 135988225786512 is 215687522889531.

135988225786512 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 8 + 8 + 2 + 25 + 7 + 86 + 512 = 666.

It is a super-2 number, since 2×135988225786512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32232333939 + ... + 32232338157.

It is an arithmetic number, because the mean of its divisors is an integer number (683426704320).

Almost surely, 2^{135988225786512} is an apocalyptic number.

135988225786512 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 135988225786512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218696545382400).

135988225786512 is an abundant number, since it is smaller than the sum of its proper divisors (301404864978288).

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

135988225786512 is a wasteful number, since it uses less digits than its factorization.

135988225786512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5080 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 72.

The spelling of 135988225786512 in words is "one hundred thirty-five trillion, nine hundred eighty-eight billion, two hundred twenty-five million, seven hundred eighty-six thousand, five hundred twelve".