36137916232704 has 880 divisors, whose sum is σ = 132294342660480. Its totient is φ = 9668934696960.

The previous prime is 36137916232697. The next prime is 36137916232709. The reversal of 36137916232704 is 40723261973163.

36137916232704 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 7 + 9 + 1 + 623 + 2 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36137916232709) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 272736582 + ... + 272869050.

It is an arithmetic number, because the mean of its divisors is an integer number (150334480296).

Almost surely, 2^{36137916232704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36137916232704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66147171330240).

36137916232704 is an abundant number, since it is smaller than the sum of its proper divisors (96156426427776).

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

36137916232704 is a wasteful number, since it uses less digits than its factorization.

36137916232704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132548 (or 132521 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 36137916232704 in words is "thirty-six trillion, one hundred thirty-seven billion, nine hundred sixteen million, two hundred thirty-two thousand, seven hundred four".