165151203584 has 54 divisors (see below), whose sum is σ = 331705790766. Its totient is φ = 82065623040.

The previous prime is 165151203583. The next prime is 165151203587. The reversal of 165151203584 is 485302151561.

165151203584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 163409977600 + 1741225984 = 404240^2 + 41728^2 .

It is not an unprimeable number, because it can be changed into a prime (165151203583) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6789524 + ... + 6813804.

It is an arithmetic number, because the mean of its divisors is an integer number (6142699829).

Almost surely, 2^165151203584 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 165151203584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165852895383).

165151203584 is an abundant number, since it is smaller than the sum of its proper divisors (166554587182).

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

165151203584 is an frugal number, since it uses more digits than its factorization.

165151203584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24623 (or 24446 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 165151203584 in words is "one hundred sixty-five billion, one hundred fifty-one million, two hundred three thousand, five hundred eighty-four".