165122749440 has 528 divisors, whose sum is σ = 627678979200. Its totient is φ = 39804272640.

The previous prime is 165122749409. The next prime is 165122749507. The reversal of 165122749440 is 44947221561.

165122749440 is a `hidden beast` number, since 1 + 6 + 512 + 2 + 7 + 4 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100868302 + ... + 100869938.

Almost surely, 2^165122749440 is an apocalyptic number.

165122749440 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 165122749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313839489600).

165122749440 is an abundant number, since it is smaller than the sum of its proper divisors (462556229760).

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

165122749440 is a wasteful number, since it uses less digits than its factorization.

165122749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 165122749440 in words is "one hundred sixty-five billion, one hundred twenty-two million, seven hundred forty-nine thousand, four hundred forty".