146903328 has 384 divisors, whose sum is σ = 533433600. Its totient is φ = 38707200.

The previous prime is 146903279. The next prime is 146903353. The reversal of 146903328 is 823309641.

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

It is a junction number, because it is equal to n+sod(n) for n = 146903292 and 146903301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3582988 + ... + 3583028.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^146903328 is an apocalyptic number.

146903328 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 146903328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266716800).

146903328 is an abundant number, since it is smaller than the sum of its proper divisors (386530272).

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

146903328 is a wasteful number, since it uses less digits than its factorization.

146903328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

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

The square root of 146903328 is about 12120.3683112354. The cubic root of 146903328 is about 527.6474919806.

The spelling of 146903328 in words is "one hundred forty-six million, nine hundred three thousand, three hundred twenty-eight".