13172137200 has 360 divisors, whose sum is σ = 48901999536. Its totient is φ = 3271680000.

The previous prime is 13172137171. The next prime is 13172137249. The reversal of 13172137200 is 273127131.

13172137200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6180135 + ... + 6182265.

Almost surely, 2^13172137200 is an apocalyptic number.

13172137200 is a gapful number since it is divisible by the number (10) 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 13172137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24450999768).

13172137200 is an abundant number, since it is smaller than the sum of its proper divisors (35729862336).

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

13172137200 is a wasteful number, since it uses less digits than its factorization.

13172137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

It can be divided in two parts, 131721 and 37200, that added together give a square (168921 = 411²).

The spelling of 13172137200 in words is "thirteen billion, one hundred seventy-two million, one hundred thirty-seven thousand, two hundred".