146821688 has 64 divisors (see below), whose sum is σ = 305454240. Its totient is φ = 65746944.

The previous prime is 146821687. The next prime is 146821699. The reversal of 146821688 is 886128641.

146821688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 12117²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146821687) 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, 630020 + ... + 630252.

Almost surely, 2^146821688 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 146821688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152727120).

146821688 is an abundant number, since it is smaller than the sum of its proper divisors (158632552).

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

146821688 is a wasteful number, since it uses less digits than its factorization.

146821688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 146821688 is about 12116.9999587357. Note that the first 4 decimals coincide. The cubic root of 146821688 is about 527.5497289955.

The spelling of 146821688 in words is "one hundred forty-six million, eight hundred twenty-one thousand, six hundred eighty-eight".