36555083136 has 1024 divisors, whose sum is σ = 141886080000. Its totient is φ = 9077391360.

The previous prime is 36555083129. The next prime is 36555083197. The reversal of 36555083136 is 63138055563.

It is a happy number.

36555083136 is a `hidden beast` number, since 3 + 6 + 5 + 5 + 508 + 3 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36555083091 and 36555083100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159629070 + ... + 159629298.

It is an arithmetic number, because the mean of its divisors is an integer number (138560625).

Almost surely, 2^36555083136 is an apocalyptic number.

36555083136 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 36555083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70943040000).

36555083136 is an abundant number, since it is smaller than the sum of its proper divisors (105330996864).

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

36555083136 is a wasteful number, since it uses less digits than its factorization.

36555083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 36555083136 in words is "thirty-six billion, five hundred fifty-five million, eighty-three thousand, one hundred thirty-six".