146117160 has 192 divisors, whose sum is σ = 566542080. Its totient is φ = 31933440.

The previous prime is 146117129. The next prime is 146117171. The reversal of 146117160 is 61711641.

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 47 ways as a sum of consecutive naturals, for example, 56700 + ... + 59220.

It is an arithmetic number, because the mean of its divisors is an integer number (2950740).

Almost surely, 2^146117160 is an apocalyptic number.

146117160 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 146117160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283271040).

146117160 is an abundant number, since it is smaller than the sum of its proper divisors (420424920).

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

146117160 is a wasteful number, since it uses less digits than its factorization.

146117160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 146117160 is about 12087.8931166684. The cubic root of 146117160 is about 526.7045549484.

The spelling of 146117160 in words is "one hundred forty-six million, one hundred seventeen thousand, one hundred sixty".