36142505612100 has 54 divisors (see below), whose sum is σ = 113286675926970. Its totient is φ = 9638001496320.

The previous prime is 36142505612099. The next prime is 36142505612107. The reversal of 36142505612100 is 121650524163.

36142505612100 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 25 + 0 + 5 + 612 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2836287120384 + 33306218491716 = 1684128^2 + 5771154^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36142505612107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20079168885 + ... + 20079170684.

It is an arithmetic number, because the mean of its divisors is an integer number (2097901406055).

Almost surely, 2^{36142505612100} is an apocalyptic number.

36142505612100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36142505612100 is an abundant number, since it is smaller than the sum of its proper divisors (77144170314870).

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

36142505612100 is a wasteful number, since it uses less digits than its factorization.

36142505612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40158339589 (or 40158339579 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 36142505612100 in words is "thirty-six trillion, one hundred forty-two billion, five hundred five million, six hundred twelve thousand, one hundred".