165352140 has 72 divisors (see below), whose sum is σ = 517765248. Its totient is φ = 42670080.

The previous prime is 165352123. The next prime is 165352141. The reversal of 165352140 is 41253561.

165352140 is a `hidden beast` number, since 1 + 653 + 5 + 2 + 1 + 4 + 0 = 666.

165352140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165352141) 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, 9237 + ... + 20396.

It is an arithmetic number, because the mean of its divisors is an integer number (7191184).

Almost surely, 2^165352140 is an apocalyptic number.

165352140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165352140 is an abundant number, since it is smaller than the sum of its proper divisors (352413108).

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

165352140 is a wasteful number, since it uses less digits than its factorization.

165352140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29679 (or 29674 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 165352140 is about 12858.9323040445. The cubic root of 165352140 is about 548.8705638101.

It can be divided in two parts, 1653521 and 40, that added together give a palindrome (1653561).

The spelling of 165352140 in words is "one hundred sixty-five million, three hundred fifty-two thousand, one hundred forty".