166180153104 has 405 divisors, whose sum is σ = 568241643879. Its totient is φ = 45200453760.

The previous prime is 166180153099. The next prime is 166180153129. The reversal of 166180153104 is 401351081661.

It is a happy number.

The square root of 166180153104 is 407652.

It is a perfect power (a square), and thus also a powerful number.

166180153104 is a `hidden beast` number, since 1 + 6 + 618 + 0 + 1 + 5 + 31 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 787583559 + ... + 787583769.

Almost surely, 2^166180153104 is an apocalyptic number.

166180153104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

166180153104 is the 407652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166180153104

166180153104 is an abundant number, since it is smaller than the sum of its proper divisors (402061490775).

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

166180153104 is a wasteful number, since it uses less digits than its factorization.

166180153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 166180153104 by its sum of digits (36), we get a square (5982485511744 = 2445912²).

166180153104 divided by its sum of digits (36) gives a square (4616115364 = 67942²).

The spelling of 166180153104 in words is "one hundred sixty-six billion, one hundred eighty million, one hundred fifty-three thousand, one hundred four".