146686464 has 160 divisors (see below), whose sum is σ = 442918080. Its totient is φ = 48522240.

The previous prime is 146686447. The next prime is 146686469. The reversal of 146686464 is 464686641.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146686469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119679 + ... + 1119809.

It is an arithmetic number, because the mean of its divisors is an integer number (2768238).

Almost surely, 2^146686464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221459040).

146686464 is an abundant number, since it is smaller than the sum of its proper divisors (296231616).

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

146686464 is an frugal number, since it uses more digits than its factorization.

146686464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 146686464 is about 12111.4187443090. The cubic root of 146686464 is about 527.3877200137.

The spelling of 146686464 in words is "one hundred forty-six million, six hundred eighty-six thousand, four hundred sixty-four".