146643904 has 56 divisors (see below), whose sum is σ = 336151728. Its totient is φ = 62730240.

The previous prime is 146643899. The next prime is 146643907. The reversal of 146643904 is 409346641.

146643904 = 2092² + 2093² + ... + 2124².

146643904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×146643904³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146643907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5842 + ... + 18094.

Almost surely, 2^146643904 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 146643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168075864).

146643904 is an abundant number, since it is smaller than the sum of its proper divisors (189507824).

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

146643904 is a wasteful number, since it uses less digits than its factorization.

146643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293 (or 12283 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 146643904 is about 12109.6615972537. The cubic root of 146643904 is about 527.3367091889.

The spelling of 146643904 in words is "one hundred forty-six million, six hundred forty-three thousand, nine hundred four".