165150672 has 80 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 52345216.

The previous prime is 165150653. The next prime is 165150683. The reversal of 165150672 is 276051561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250279 + ... + 250937.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2^165150672 is an apocalyptic number.

165150672 is a gapful number since it is divisible by the number (12) 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 165150672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

165150672 is an abundant number, since it is smaller than the sum of its proper divisors (282677808).

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

165150672 is a wasteful number, since it uses less digits than its factorization.

165150672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 165150672 is about 12851.0961400186. The cubic root of 165150672 is about 548.6475553144.

The spelling of 165150672 in words is "one hundred sixty-five million, one hundred fifty thousand, six hundred seventy-two".