136018773072 has 1200 divisors, whose sum is σ = 521863546512. Its totient is φ = 33861058560.

The previous prime is 136018773071. The next prime is 136018773101. The reversal of 136018773072 is 270377810631.

136018773072 is a `hidden beast` number, since 1 + 3 + 601 + 8 + 7 + 7 + 30 + 7 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7427681856 + 128591091216 = 86184^2 + 358596^2 .

It is a super-2 number, since 2×136018773072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136018773071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1863270828 + ... + 1863270900.

Almost surely, 2^136018773072 is an apocalyptic number.

136018773072 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 136018773072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260931773256).

136018773072 is an abundant number, since it is smaller than the sum of its proper divisors (385844773440).

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

136018773072 is a wasteful number, since it uses less digits than its factorization.

136018773072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 136018773072 in words is "one hundred thirty-six billion, eighteen million, seven hundred seventy-three thousand, seventy-two".