114166160 has 80 divisors (see below), whose sum is σ = 273022704. Its totient is φ = 44384256.

The previous prime is 114166159. The next prime is 114166183. The reversal of 114166160 is 61661411.

It can be written as a sum of positive squares in 8 ways, for example, as 1721344 + 112444816 = 1312^2 + 10604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 659834 + ... + 660006.

Almost surely, 2^114166160 is an apocalyptic number.

114166160 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 114166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136511352).

114166160 is an abundant number, since it is smaller than the sum of its proper divisors (158856544).

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

114166160 is a wasteful number, since it uses less digits than its factorization.

114166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 114166160 is about 10684.8565736747. The cubic root of 114166160 is about 485.1162225454.

It can be divided in two parts, 11416 and 6160, that added together give a cube (17576 = 26³).

The spelling of 114166160 in words is "one hundred fourteen million, one hundred sixty-six thousand, one hundred sixty".