125822348082 has 150 divisors (see below), whose sum is σ = 301725474765. Its totient is φ = 39188273040.

The previous prime is 125822348077. The next prime is 125822348087. The reversal of 125822348082 is 280843228521.

125822348082 is a `hidden beast` number, since 1 + 2 + 582 + 23 + 48 + 0 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (125822348077) and next prime (125822348087).

It can be written as a sum of positive squares in 2 ways, for example, as 125747542881 + 74805201 = 354609^2 + 8649^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=250821.

It is not an unprimeable number, because it can be changed into a prime (125822348087) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 4058785407 + ... + 4058785437.

Almost surely, 2^125822348082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125822348082

125822348082 is an abundant number, since it is smaller than the sum of its proper divisors (175903126683).

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

125822348082 is an frugal number, since it uses more digits than its factorization.

125822348082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 125822348082 in words is "one hundred twenty-five billion, eight hundred twenty-two million, three hundred forty-eight thousand, eighty-two".