13172731740 has 432 divisors, whose sum is σ = 48363588000. Its totient is φ = 2891427840.

The previous prime is 13172731727. The next prime is 13172731751. The reversal of 13172731740 is 4713727131.

It is a happy number.

13172731740 is a `hidden beast` number, since 1 + 317 + 27 + 317 + 4 + 0 = 666.

It is a super-2 number, since 2×13172731740² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13172731695 and 13172731704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26398011 + ... + 26398509.

It is an arithmetic number, because the mean of its divisors is an integer number (111952750).

Almost surely, 2^13172731740 is an apocalyptic number.

13172731740 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 13172731740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24181794000).

13172731740 is an abundant number, since it is smaller than the sum of its proper divisors (35190856260).

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

13172731740 is a wasteful number, since it uses less digits than its factorization.

13172731740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 13172731740 in words is "thirteen billion, one hundred seventy-two million, seven hundred thirty-one thousand, seven hundred forty".