146385360 has 320 divisors, whose sum is σ = 564606720. Its totient is φ = 34560000.

The previous prime is 146385347. The next prime is 146385361. The reversal of 146385360 is 63583641.

146385360 is a `hidden beast` number, since 14 + 638 + 5 + 3 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146385361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449310 + ... + 1449410.

It is an arithmetic number, because the mean of its divisors is an integer number (1764396).

Almost surely, 2^146385360 is an apocalyptic number.

146385360 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 146385360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282303360).

146385360 is an abundant number, since it is smaller than the sum of its proper divisors (418221360).

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

146385360 is a wasteful number, since it uses less digits than its factorization.

146385360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 146385360 is about 12098.9817753396. The cubic root of 146385360 is about 527.0266157297.

The spelling of 146385360 in words is "one hundred forty-six million, three hundred eighty-five thousand, three hundred sixty".