36135939840 has 1728 divisors, whose sum is σ = 169113692160. Its totient is φ = 6440878080.

The previous prime is 36135939751. The next prime is 36135939859. The reversal of 36135939840 is 4893953163.

It is a happy number.

It is a super-3 number, since 3×36135939840³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 457416921 + ... + 457416999.

It is an arithmetic number, because the mean of its divisors is an integer number (97866720).

Almost surely, 2^36135939840 is an apocalyptic number.

36135939840 is a gapful number since it is divisible by the number (30) 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 36135939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84556846080).

36135939840 is an abundant number, since it is smaller than the sum of its proper divisors (132977752320).

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

36135939840 is a wasteful number, since it uses less digits than its factorization.

36135939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 36135939840 in words is "thirty-six billion, one hundred thirty-five million, nine hundred thirty-nine thousand, eight hundred forty".