146123984 has 40 divisors (see below), whose sum is σ = 299460000. Its totient is φ = 68881536.

The previous prime is 146123969. The next prime is 146124031. The reversal of 146123984 is 489321641.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 7 ways as a sum of consecutive naturals, for example, 68567 + ... + 70665.

It is an arithmetic number, because the mean of its divisors is an integer number (7486500).

Almost surely, 2^146123984 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 146123984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149730000).

146123984 is an abundant number, since it is smaller than the sum of its proper divisors (153336016).

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

146123984 is a wasteful number, since it uses less digits than its factorization.

146123984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2349 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 146123984 is about 12088.1753792704. The cubic root of 146123984 is about 526.7127542499.

The spelling of 146123984 in words is "one hundred forty-six million, one hundred twenty-three thousand, nine hundred eighty-four".