136746762727872 has 224 divisors, whose sum is σ = 396053697461760. Its totient is φ = 41296446996480.

The previous prime is 136746762727793. The next prime is 136746762727877. The reversal of 136746762727872 is 278727267647631.

It is a junction number, because it is equal to n+sod(n) for n = 136746762727794 and 136746762727803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136746762727877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3168419829 + ... + 3168462987.

Almost surely, 2^{136746762727872} is an apocalyptic number.

136746762727872 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 136746762727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198026848730880).

136746762727872 is an abundant number, since it is smaller than the sum of its proper divisors (259306934733888).

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

136746762727872 is a wasteful number, since it uses less digits than its factorization.

136746762727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48291 (or 48281 counting only the distinct ones).

The product of its digits is 2788079616, while the sum is 75.

The spelling of 136746762727872 in words is "one hundred thirty-six trillion, seven hundred forty-six billion, seven hundred sixty-two million, seven hundred twenty-seven thousand, eight hundred seventy-two".