135622785779712 has 864 divisors, whose sum is σ = 503890274291040. Its totient is φ = 34743954309120.

The previous prime is 135622785779711. The next prime is 135622785779731. The reversal of 135622785779712 is 217977587226531.

135622785779712 is a `hidden beast` number, since 1 + 3 + 562 + 2 + 7 + 8 + 57 + 7 + 9 + 7 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135622785779711) 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, 725150403 + ... + 725337405.

It is an arithmetic number, because the mean of its divisors is an integer number (583206335985).

Almost surely, 2^{135622785779712} is an apocalyptic number.

135622785779712 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 135622785779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251945137145520).

135622785779712 is an abundant number, since it is smaller than the sum of its proper divisors (368267488511328).

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

135622785779712 is a wasteful number, since it uses less digits than its factorization.

135622785779712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187129 (or 187099 counting only the distinct ones).

The product of its digits is 622339200, while the sum is 72.

The spelling of 135622785779712 in words is "one hundred thirty-five trillion, six hundred twenty-two billion, seven hundred eighty-five million, seven hundred seventy-nine thousand, seven hundred twelve".