82148000753 has 32 divisors (see below), whose sum is σ = 106478883840. Its totient is φ = 61545096000.

The previous prime is 82148000731. The next prime is 82148000821. The reversal of 82148000753 is 35700084128.

It is a cyclic number.

It is not a de Polignac number, because 82148000753 - 2¹⁰ = 82147999729 is a prime.

It is a super-3 number, since 3×82148000753³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82148002753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3881426 + ... + 3902532.

It is an arithmetic number, because the mean of its divisors is an integer number (3327465120).

Almost surely, 2^82148000753 is an apocalyptic number.

It is an amenable number.

82148000753 is a deficient number, since it is larger than the sum of its proper divisors (24330883087).

82148000753 is a wasteful number, since it uses less digits than its factorization.

82148000753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23397.

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 82148000753 in words is "eighty-two billion, one hundred forty-eight million, seven hundred fifty-three", and thus it is an aban number.