165150720 has 240 divisors, whose sum is σ = 654310800. Its totient is φ = 37748736.

The previous prime is 165150719. The next prime is 165150761. The reversal of 165150720 is 27051561.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (2!)¹².

165150720 is a `hidden beast` number, since 1 + 651 + 5 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×165150720³ (a number of 26 digits) contains 333 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23592957 + ... + 23592963.

It is an arithmetic number, because the mean of its divisors is an integer number (2726295).

Almost surely, 2^165150720 is an apocalyptic number.

165150720 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 165150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327155400).

165150720 is an abundant number, since it is smaller than the sum of its proper divisors (489160080).

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

165150720 is an frugal number, since it uses more digits than its factorization.

165150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 165150720 is about 12851.0980075634. The cubic root of 165150720 is about 548.6476084681.

The spelling of 165150720 in words is "one hundred sixty-five million, one hundred fifty thousand, seven hundred twenty".