82148200904 has 128 divisors (see below), whose sum is σ = 207481824000. Its totient is φ = 30122910720.

The previous prime is 82148200903. The next prime is 82148200909. The reversal of 82148200904 is 40900284128.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82148200903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433082 + ... + 593174.

It is an arithmetic number, because the mean of its divisors is an integer number (1620951750).

Almost surely, 2^82148200904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82148200904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103740912000).

82148200904 is an abundant number, since it is smaller than the sum of its proper divisors (125333623096).

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

82148200904 is a wasteful number, since it uses less digits than its factorization.

82148200904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160148 (or 160130 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 82148200904 in words is "eighty-two billion, one hundred forty-eight million, two hundred thousand, nine hundred four".