146380608 has 280 divisors, whose sum is σ = 504529344. Its totient is φ = 41472000.

The previous prime is 146380573. The next prime is 146380627. The reversal of 146380608 is 806083641.

It is a happy number.

146380608 is a `hidden beast` number, since 1 + 46 + 3 + 8 + 0 + 608 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 969333 + ... + 969483.

Almost surely, 2^146380608 is an apocalyptic number.

146380608 is a gapful number since it is divisible by the number (18) 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 146380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252264672).

146380608 is an abundant number, since it is smaller than the sum of its proper divisors (358148736).

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

146380608 is a wasteful number, since it uses less digits than its factorization.

146380608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146380608 is about 12098.7853935839. The cubic root of 146380608 is about 527.0209128425.

The spelling of 146380608 in words is "one hundred forty-six million, three hundred eighty thousand, six hundred eight".