146382390 has 160 divisors (see below), whose sum is σ = 490938624. Its totient is φ = 30404160.

The previous prime is 146382377. The next prime is 146382391. The reversal of 146382390 is 93283641.

146382390 is a `hidden beast` number, since 14 + 638 + 2 + 3 + 9 + 0 = 666.

It is a super-2 number, since 2×146382390² = 42855608204224200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146382391) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61197 + ... + 63543.

Almost surely, 2^146382390 is an apocalyptic number.

146382390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146382390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245469312).

146382390 is an abundant number, since it is smaller than the sum of its proper divisors (344556234).

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

146382390 is a wasteful number, since it uses less digits than its factorization.

146382390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 146382390 is about 12098.8590371159. The cubic root of 146382390 is about 527.0230514397.

The spelling of 146382390 in words is "one hundred forty-six million, three hundred eighty-two thousand, three hundred ninety".