166503501134152 has 256 divisors, whose sum is σ = 394343867473920. Its totient is φ = 64143347558400.

The previous prime is 166503501134123. The next prime is 166503501134203. The reversal of 166503501134152 is 251431105305661.

It is a junction number, because it is equal to n+sod(n) for n = 166503501134099 and 166503501134108.

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, 62524783173 + ... + 62524785835.

It is an arithmetic number, because the mean of its divisors is an integer number (1540405732320).

Almost surely, 2^{166503501134152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166503501134152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197171933736960).

166503501134152 is an abundant number, since it is smaller than the sum of its proper divisors (227840366339768).

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

166503501134152 is a wasteful number, since it uses less digits than its factorization.

166503501134152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 166503501134152 in words is "one hundred sixty-six trillion, five hundred three billion, five hundred one million, one hundred thirty-four thousand, one hundred fifty-two".