166513152 has 160 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 49397760.

The previous prime is 166513141. The next prime is 166513153. The reversal of 166513152 is 251315661.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (166513153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618874 + ... + 619142.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^166513152 is an apocalyptic number.

166513152 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 166513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

166513152 is an abundant number, since it is smaller than the sum of its proper divisors (328455168).

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

166513152 is a wasteful number, since it uses less digits than its factorization.

166513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 166513152 is about 12903.9975201486. The cubic root of 166513152 is about 550.1521914917.

The spelling of 166513152 in words is "one hundred sixty-six million, five hundred thirteen thousand, one hundred fifty-two".