135631462652928 has 2112 divisors, whose sum is σ = 475877232230400. Its totient is φ = 38193601904640.

The previous prime is 135631462652927. The next prime is 135631462652989. The reversal of 135631462652928 is 829256264136531.

135631462652928 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 31 + 462 + 6 + 52 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×135631462652928² (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 (135631462652927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269645054725 + ... + 269645055227.

It is an arithmetic number, because the mean of its divisors is an integer number (225320659200).

Almost surely, 2^{135631462652928} is an apocalyptic number.

135631462652928 is a gapful number since it is divisible by the number (18) 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 135631462652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237938616115200).

135631462652928 is an abundant number, since it is smaller than the sum of its proper divisors (340245769577472).

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

135631462652928 is a wasteful number, since it uses less digits than its factorization.

135631462652928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 670 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 135631462652928 in words is "one hundred thirty-five trillion, six hundred thirty-one billion, four hundred sixty-two million, six hundred fifty-two thousand, nine hundred twenty-eight".