165157440 has 168 divisors, whose sum is σ = 610160832. Its totient is φ = 37739520.

The previous prime is 165157417. The next prime is 165157441. The reversal of 165157440 is 44751561.

165157440 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (165157441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45285 + ... + 48795.

Almost surely, 2^165157440 is an apocalyptic number.

165157440 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 165157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305080416).

165157440 is an abundant number, since it is smaller than the sum of its proper divisors (445003392).

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

165157440 is a wasteful number, since it uses less digits than its factorization.

165157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 165157440 is about 12851.3594611621. The cubic root of 165157440 is about 548.6550498766.

The spelling of 165157440 in words is "one hundred sixty-five million, one hundred fifty-seven thousand, four hundred forty".