165354240 has 216 divisors, whose sum is σ = 564757200. Its totient is φ = 41222144.

The previous prime is 165354193. The next prime is 165354247. The reversal of 165354240 is 42453561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 165354198 and 165354207.

It is not an unprimeable number, because it can be changed into a prime (165354247) 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, 1109686 + ... + 1109834.

Almost surely, 2^165354240 is an apocalyptic number.

165354240 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 165354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282378600).

165354240 is an abundant number, since it is smaller than the sum of its proper divisors (399402960).

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

165354240 is a wasteful number, since it uses less digits than its factorization.

165354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 165354240 is about 12859.0139590872. The cubic root of 165354240 is about 548.8728873831.

The spelling of 165354240 in words is "one hundred sixty-five million, three hundred fifty-four thousand, two hundred forty".