36130752000000 has 2912 divisors, whose sum is σ = 159722455526400. Its totient is φ = 7896268800000.

The previous prime is 36130751999999. The next prime is 36130752000001. The reversal of 36130752000000 is 25703163.

It is a happy number.

36130752000000 is a `hidden beast` number, since 3 + 6 + 130 + 7 + 520 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36130751999999) and next prime (36130752000001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36130752000001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 350783999949 + ... + 350784000051.

Almost surely, 2^{36130752000000} is an apocalyptic number.

36130752000000 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 36130752000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79861227763200).

36130752000000 is an abundant number, since it is smaller than the sum of its proper divisors (123591703526400).

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

36130752000000 is an frugal number, since it uses more digits than its factorization.

36130752000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 36130752000000 its reverse (25703163), we get a palindrome (36130777703163).

The spelling of 36130752000000 in words is "thirty-six trillion, one hundred thirty billion, seven hundred fifty-two million", and thus it is an aban number.