166135900 has 144 divisors (see below), whose sum is σ = 455970816. Its totient is φ = 51194880.

The previous prime is 166135897. The next prime is 166135967. The reversal of 166135900 is 9531661.

It is a super-2 number, since 2×166135900² = 55202274537620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273397 + ... + 274003.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2^166135900 is an apocalyptic number.

166135900 is a gapful number since it is divisible by the number (10) 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 166135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

166135900 is an abundant number, since it is smaller than the sum of its proper divisors (289834916).

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

166135900 is a wasteful number, since it uses less digits than its factorization.

166135900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 166135900 is about 12889.3715905780. The cubic root of 166135900 is about 549.7364026120.

The spelling of 166135900 in words is "one hundred sixty-six million, one hundred thirty-five thousand, nine hundred".