165146126533542 has 256 divisors, whose sum is σ = 479027959603200. Its totient is φ = 40916966590080.

The previous prime is 165146126533499. The next prime is 165146126533589. The reversal of 165146126533542 is 245335621641561.

165146126533542 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 4 + 6 + 1 + 2 + 65 + 33 + 542 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1757853 + ... + 18258759.

It is an arithmetic number, because the mean of its divisors is an integer number (1871202967200).

Almost surely, 2^{165146126533542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165146126533542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239513979801600).

165146126533542 is an abundant number, since it is smaller than the sum of its proper divisors (313881833069658).

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

165146126533542 is a wasteful number, since it uses less digits than its factorization.

165146126533542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16501048 (or 16501042 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 165146126533542 in words is "one hundred sixty-five trillion, one hundred forty-six billion, one hundred twenty-six million, five hundred thirty-three thousand, five hundred forty-two".