146618880 has 160 divisors (see below), whose sum is σ = 496736064. Its totient is φ = 36765696.

The previous prime is 146618851. The next prime is 146618881. The reversal of 146618880 is 88816641.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (146618881) by changing a digit.

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, 129999 + ... + 131121.

Almost surely, 2^146618880 is an apocalyptic number.

146618880 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 146618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248368032).

146618880 is an abundant number, since it is smaller than the sum of its proper divisors (350117184).

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

146618880 is a wasteful number, since it uses less digits than its factorization.

146618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 146618880 is about 12108.6283285928. The cubic root of 146618880 is about 527.3067117504.

The spelling of 146618880 in words is "one hundred forty-six million, six hundred eighteen thousand, eight hundred eighty".