36136809732100 has 729 divisors, whose sum is σ = 103540045823487. Its totient is φ = 10907066016000.

The previous prime is 36136809731959. The next prime is 36136809732103. The reversal of 36136809732100 is 123790863163.

The square root of 36136809732100 is 6011390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3430489256964 + 32706320475136 = 1852158^2 + 5718944^2 .

It is a super-2 number, since 2×36136809732100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (36136809732103) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 171264500995 + ... + 171264501205.

Almost surely, 2^{36136809732100} is an apocalyptic number.

36136809732100 is the 6011390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36136809732100

36136809732100 is an abundant number, since it is smaller than the sum of its proper divisors (67403236091387).

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

36136809732100 is a wasteful number, since it uses less digits than its factorization.

36136809732100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

36136809732100 divided by its sum of digits (49) gives a square (737485912900 = 858770²).

The spelling of 36136809732100 in words is "thirty-six trillion, one hundred thirty-six billion, eight hundred nine million, seven hundred thirty-two thousand, one hundred".