3182456195136 has 189 divisors, whose sum is σ = 9475740469741. Its totient is φ = 1060433399808.

The previous prime is 3182456195123. The next prime is 3182456195161. The reversal of 3182456195136 is 6315916542813.

The square root of 3182456195136 is 1783944.

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

3182456195136 is a `hidden beast` number, since 3 + 1 + 8 + 2 + 4 + 5 + 619 + 5 + 13 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2959913793600 + 222542401536 = 1720440^2 + 471744^2 .

It is a super-2 number, since 2×3182456195136² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1155994336 + ... + 1155997088.

Almost surely, 2^{3182456195136} is an apocalyptic number.

3182456195136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3182456195136 is the 1783944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3182456195136

3182456195136 is an abundant number, since it is smaller than the sum of its proper divisors (6293284274605).

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

3182456195136 is an frugal number, since it uses more digits than its factorization.

3182456195136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 2758 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 3182456195136 in words is "three trillion, one hundred eighty-two billion, four hundred fifty-six million, one hundred ninety-five thousand, one hundred thirty-six".