108137272438272 has 1280 divisors, whose sum is σ = 393525898444800. Its totient is φ = 25748936294400.

The previous prime is 108137272438199. The next prime is 108137272438301. The reversal of 108137272438272 is 272834272731801.

It is a super-2 number, since 2×108137272438272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8429120754 + ... + 8429133582.

It is an arithmetic number, because the mean of its divisors is an integer number (307442108160).

Almost surely, 2^{108137272438272} is an apocalyptic number.

108137272438272 is a gapful number since it is divisible by the number (12) 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 108137272438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196762949222400).

108137272438272 is an abundant number, since it is smaller than the sum of its proper divisors (285388626006528).

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

108137272438272 is a wasteful number, since it uses less digits than its factorization.

108137272438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12940 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 108137272438272 in words is "one hundred eight trillion, one hundred thirty-seven billion, two hundred seventy-two million, four hundred thirty-eight thousand, two hundred seventy-two".