146681304 has 384 divisors, whose sum is σ = 531878400. Its totient is φ = 33116160.

The previous prime is 146681303. The next prime is 146681377. The reversal of 146681304 is 403186641.

146681304 = 407² + 408² + ... + 797².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146681303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5057962 + ... + 5057990.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2^146681304 is an apocalyptic number.

146681304 is a gapful number since it is divisible by the number (14) 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 146681304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

146681304 is an abundant number, since it is smaller than the sum of its proper divisors (385197096).

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

146681304 is a wasteful number, since it uses less digits than its factorization.

146681304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 146681304 is about 12111.2057203236. The cubic root of 146681304 is about 527.3815359563.

The spelling of 146681304 in words is "one hundred forty-six million, six hundred eighty-one thousand, three hundred four".