13732173000 has 1152 divisors, whose sum is σ = 61899102720. Its totient is φ = 2771366400.

The previous prime is 13732172999. The next prime is 13732173019. The reversal of 13732173000 is 37123731.

13732173000 is a `hidden beast` number, since 1 + 37 + 321 + 7 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 597050989 + ... + 597051011.

It is an arithmetic number, because the mean of its divisors is an integer number (53731860).

Almost surely, 2^13732173000 is an apocalyptic number.

13732173000 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 13732173000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30949551360).

13732173000 is an abundant number, since it is smaller than the sum of its proper divisors (48166929720).

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

13732173000 is an equidigital number, since it uses as much as digits as its factorization.

13732173000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

Adding to 13732173000 its reverse (37123731), we get a palindrome (13769296731).

The spelling of 13732173000 in words is "thirteen billion, seven hundred thirty-two million, one hundred seventy-three thousand".