82612200145 has 16 divisors (see below), whose sum is σ = 104973165648. Its totient is φ = 62197934080.

The previous prime is 82612200133. The next prime is 82612200149. The reversal of 82612200145 is 54100221628.

It can be written as a sum of positive squares in 8 ways, for example, as 24737312961 + 57874887184 = 157281^2 + 240572^2 .

It is a de Polignac number, because none of the positive numbers 2^k-82612200145 is a prime.

It is a super-2 number, since 2×82612200145² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82612200149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1907835 + ... + 1950655.

It is an arithmetic number, because the mean of its divisors is an integer number (6560822853).

Almost surely, 2^82612200145 is an apocalyptic number.

82612200145 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82612200145 is a deficient number, since it is larger than the sum of its proper divisors (22360965503).

82612200145 is a wasteful number, since it uses less digits than its factorization.

82612200145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65540.

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 82612200145 in words is "eighty-two billion, six hundred twelve million, two hundred thousand, one hundred forty-five".