135622569672 has 540 divisors, whose sum is σ = 433545051555. Its totient is φ = 39598377984.

The previous prime is 135622569671. The next prime is 135622569739. The reversal of 135622569672 is 276965226531.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135622569672 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 2 + 2 + 569 + 6 + 72 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 135457858116 + 164711556 = 368046^2 + 12834^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=260406.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135622569671) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3665474838 + ... + 3665474874.

Almost surely, 2^135622569672 is an apocalyptic number.

135622569672 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 135622569672

135622569672 is an abundant number, since it is smaller than the sum of its proper divisors (297922481883).

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

135622569672 is a wasteful number, since it uses less digits than its factorization.

135622569672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 82 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 135622569672 in words is "one hundred thirty-five billion, six hundred twenty-two million, five hundred sixty-nine thousand, six hundred seventy-two".