146131680 has 96 divisors (see below), whose sum is σ = 463325184. Its totient is φ = 38713856.

The previous prime is 146131669. The next prime is 146131721. The reversal of 146131680 is 86131641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79249 + ... + 81071.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2^146131680 is an apocalyptic number.

146131680 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 146131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

146131680 is an abundant number, since it is smaller than the sum of its proper divisors (317193504).

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

146131680 is a wasteful number, since it uses less digits than its factorization.

146131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 146131680 is about 12088.4937026910. The cubic root of 146131680 is about 526.7220009870.

The spelling of 146131680 in words is "one hundred forty-six million, one hundred thirty-one thousand, six hundred eighty".