146488320 has 396 divisors, whose sum is σ = 588209544. Its totient is φ = 33423360.

The previous prime is 146488313. The next prime is 146488339. The reversal of 146488320 is 23884641.

146488320 is a `hidden beast` number, since 1 + 4 + 648 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8616952 + ... + 8616968.

Almost surely, 2^146488320 is an apocalyptic number.

146488320 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 146488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294104772).

146488320 is an abundant number, since it is smaller than the sum of its proper divisors (441721224).

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

146488320 is a wasteful number, since it uses less digits than its factorization.

146488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 146488320 is about 12103.2359309401. The cubic root of 146488320 is about 527.1501479907.

The spelling of 146488320 in words is "one hundred forty-six million, four hundred eighty-eight thousand, three hundred twenty".