165357456 has 160 divisors (see below), whose sum is σ = 501396480. Its totient is φ = 46425600.

The previous prime is 165357443. The next prime is 165357463. The reversal of 165357456 is 654753561.

165357456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531541 + ... + 531851.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^165357456 is an apocalyptic number.

165357456 is a gapful number since it is divisible by the number (16) 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 165357456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250698240).

165357456 is an abundant number, since it is smaller than the sum of its proper divisors (336039024).

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

165357456 is a wasteful number, since it uses less digits than its factorization.

165357456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 165357456 is about 12859.1390069475. The cubic root of 165357456 is about 548.8764457310.

The spelling of 165357456 in words is "one hundred sixty-five million, three hundred fifty-seven thousand, four hundred fifty-six".