165114880 has 176 divisors, whose sum is σ = 481061376. Its totient is φ = 53084160.

The previous prime is 165114841. The next prime is 165114881. The reversal of 165114880 is 88411561.

165114880 = T₃₉₅₅ + T₃₉₅₆ + ... + T₃₉₇₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165114881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609145 + ... + 609415.

Almost surely, 2^165114880 is an apocalyptic number.

165114880 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 165114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240530688).

165114880 is an abundant number, since it is smaller than the sum of its proper divisors (315946496).

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

165114880 is a wasteful number, since it uses less digits than its factorization.

165114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 165114880 is about 12849.7034985248. The cubic root of 165114880 is about 548.6079175464.

The spelling of 165114880 in words is "one hundred sixty-five million, one hundred fourteen thousand, eight hundred eighty".