166048128 has 48 divisors (see below), whose sum is σ = 477824100. Its totient is φ = 55348992.

The previous prime is 166048117. The next prime is 166048147. The reversal of 166048128 is 821840661.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 166048092 and 166048101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70918 + ... + 73221.

Almost surely, 2^166048128 is an apocalyptic number.

166048128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166048128 is an abundant number, since it is smaller than the sum of its proper divisors (311775972).

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

166048128 is a wasteful number, since it uses less digits than its factorization.

166048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144159 (or 144144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 166048128 is about 12885.9663199932. The cubic root of 166048128 is about 549.6395743260.

Adding to 166048128 its reverse (821840661), we get a palindrome (987888789).

It can be divided in two parts, 166048 and 128, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 166048128 in words is "one hundred sixty-six million, forty-eight thousand, one hundred twenty-eight".