165134979072 has 832 divisors, whose sum is σ = 599712256000. Its totient is φ = 43858132992.

The previous prime is 165134979059. The next prime is 165134979103. The reversal of 165134979072 is 270979431561.

165134979072 is a `hidden beast` number, since 1 + 65 + 1 + 3 + 497 + 90 + 7 + 2 = 666.

It is a super-2 number, since 2×165134979072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1514999754 + ... + 1514999862.

It is an arithmetic number, because the mean of its divisors is an integer number (720808000).

Almost surely, 2^165134979072 is an apocalyptic number.

165134979072 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 165134979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299856128000).

165134979072 is an abundant number, since it is smaller than the sum of its proper divisors (434577276928).

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

165134979072 is a wasteful number, since it uses less digits than its factorization.

165134979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 165134979072 in words is "one hundred sixty-five billion, one hundred thirty-four million, nine hundred seventy-nine thousand, seventy-two".