146836320 has 96 divisors (see below), whose sum is σ = 464214240. Its totient is φ = 39014400.

The previous prime is 146836303. The next prime is 146836321. The reversal of 146836320 is 23638641.

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

It is a super-2 number, since 2×146836320² = 43121809742284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146836321) 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, 244020 + ... + 244620.

It is an arithmetic number, because the mean of its divisors is an integer number (4835565).

Almost surely, 2^146836320 is an apocalyptic number.

146836320 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 146836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232107120).

146836320 is an abundant number, since it is smaller than the sum of its proper divisors (317377920).

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

146836320 is a wasteful number, since it uses less digits than its factorization.

146836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 146836320 is about 12117.6037235090. The cubic root of 146836320 is about 527.5672533166.

The spelling of 146836320 in words is "one hundred forty-six million, eight hundred thirty-six thousand, three hundred twenty".