36131414200 has 192 divisors, whose sum is σ = 98509320000. Its totient is φ = 12319211520.

The previous prime is 36131414197. The next prime is 36131414203. The reversal of 36131414200 is 241413163.

It is an interprime number because it is at equal distance from previous prime (36131414197) and next prime (36131414203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131414203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13238436 + ... + 13241164.

It is an arithmetic number, because the mean of its divisors is an integer number (513069375).

Almost surely, 2^36131414200 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 36131414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49254660000).

36131414200 is an abundant number, since it is smaller than the sum of its proper divisors (62377905800).

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

36131414200 is a wasteful number, since it uses less digits than its factorization.

36131414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 36131414200 its reverse (241413163), we get a palindrome (36372827363).

The spelling of 36131414200 in words is "thirty-six billion, one hundred thirty-one million, four hundred fourteen thousand, two hundred".