126164160 has 168 divisors, whose sum is σ = 440777376. Its totient is φ = 33116160.

The previous prime is 126164153. The next prime is 126164179. The reversal of 126164160 is 61461621.

126164160 is a `hidden beast` number, since 1 + 2 + 616 + 41 + 6 + 0 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 204172 + ... + 204788.

Almost surely, 2^126164160 is an apocalyptic number.

126164160 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 126164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220388688).

126164160 is an abundant number, since it is smaller than the sum of its proper divisors (314613216).

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

126164160 is a wasteful number, since it uses less digits than its factorization.

126164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 126164160 is about 11232.2820477408. The cubic root of 126164160 is about 501.5474193795.

The spelling of 126164160 in words is "one hundred twenty-six million, one hundred sixty-four thousand, one hundred sixty".