165153442553540 has 144 divisors (see below), whose sum is σ = 407470147176960. Its totient is φ = 56059363180800.

The previous prime is 165153442553531. The next prime is 165153442553563. The reversal of 165153442553540 is 45355244351561.

It is a super-3 number, since 3×165153442553540³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1584320741 + ... + 1584424979.

It is an arithmetic number, because the mean of its divisors is an integer number (2829653799840).

Almost surely, 2^{165153442553540} is an apocalyptic number.

165153442553540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165153442553540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203735073588480).

165153442553540 is an abundant number, since it is smaller than the sum of its proper divisors (242316704623420).

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

165153442553540 is a wasteful number, since it uses less digits than its factorization.

165153442553540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120370 (or 120361 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 53.

The spelling of 165153442553540 in words is "one hundred sixty-five trillion, one hundred fifty-three billion, four hundred forty-two million, five hundred fifty-three thousand, five hundred forty".