36542636136 has 160 divisors (see below), whose sum is σ = 104031734400. Its totient is φ = 11981934720.

The previous prime is 36542636107. The next prime is 36542636147. The reversal of 36542636136 is 63163624563.

36542636136 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 2 + 636 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36542636091 and 36542636100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34183410 + ... + 34184478.

It is an arithmetic number, because the mean of its divisors is an integer number (650198340).

Almost surely, 2^36542636136 is an apocalyptic number.

36542636136 is a gapful number since it is divisible by the number (36) 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 36542636136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52015867200).

36542636136 is an abundant number, since it is smaller than the sum of its proper divisors (67489098264).

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

36542636136 is a wasteful number, since it uses less digits than its factorization.

36542636136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1888 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 36542636136 in words is "thirty-six billion, five hundred forty-two million, six hundred thirty-six thousand, one hundred thirty-six".