36131851800 has 144 divisors (see below), whose sum is σ = 132374038680. Its totient is φ = 8759232000.

The previous prime is 36131851783. The next prime is 36131851801. The reversal of 36131851800 is 815813163.

36131851800 is a `hidden beast` number, since 3 + 6 + 131 + 8 + 518 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131851801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 892621 + ... + 932220.

Almost surely, 2^36131851800 is an apocalyptic number.

36131851800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36131851800 is an abundant number, since it is smaller than the sum of its proper divisors (96242186880).

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

36131851800 is a wasteful number, since it uses less digits than its factorization.

36131851800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824874 (or 1824862 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 36131851800 in words is "thirty-six billion, one hundred thirty-one million, eight hundred fifty-one thousand, eight hundred".