146473680 has 80 divisors (see below), whose sum is σ = 455667264. Its totient is φ = 38922240.

The previous prime is 146473673. The next prime is 146473699. The reversal of 146473680 is 86374641.

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

It is a congruent number.

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, 79975 + ... + 81785.

Almost surely, 2^146473680 is an apocalyptic number.

146473680 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 146473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227833632).

146473680 is an abundant number, since it is smaller than the sum of its proper divisors (309193584).

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

146473680 is a wasteful number, since it uses less digits than its factorization.

146473680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 146473680 is about 12102.6311188931. The cubic root of 146473680 is about 527.1325863282.

It can be divided in two parts, 146473 and 680, that added together give a triangular number (147153 = T₅₄₂).

The spelling of 146473680 in words is "one hundred forty-six million, four hundred seventy-three thousand, six hundred eighty".