36786142140 has 192 divisors, whose sum is σ = 117028800000. Its totient is φ = 8551889920.

The previous prime is 36786142061. The next prime is 36786142181. The reversal of 36786142140 is 4124168763.

It is a junction number, because it is equal to n+sod(n) for n = 36786142092 and 36786142101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2845411 + ... + 2858309.

It is an arithmetic number, because the mean of its divisors is an integer number (609525000).

Almost surely, 2^36786142140 is an apocalyptic number.

36786142140 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 36786142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58514400000).

36786142140 is an abundant number, since it is smaller than the sum of its proper divisors (80242657860).

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

36786142140 is a wasteful number, since it uses less digits than its factorization.

36786142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 13098 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 36786142140 in words is "thirty-six billion, seven hundred eighty-six million, one hundred forty-two thousand, one hundred forty".