9137448100 has 135 divisors (see below), whose sum is σ = 22090535985. Its totient is φ = 3280648800.

The previous prime is 9137448079. The next prime is 9137448139. The reversal of 9137448100 is 18447319.

The square root of 9137448100 is 95590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3289481316 + 5847966784 = 57354^2 + 76472^2 .

It is a super-2 number, since 2×9137448100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9137448100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 115663861 + ... + 115663939.

Almost surely, 2^9137448100 is an apocalyptic number.

9137448100 is the 95590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9137448100

9137448100 is an abundant number, since it is smaller than the sum of its proper divisors (12953087885).

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

9137448100 is an equidigital number, since it uses as much as digits as its factorization.

9137448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The cubic root of 9137448100 is about 2090.6193916731.

The spelling of 9137448100 in words is "nine billion, one hundred thirty-seven million, four hundred forty-eight thousand, one hundred".