146815128 has 192 divisors, whose sum is σ = 454896000. Its totient is φ = 42494976.

The previous prime is 146815127. The next prime is 146815133. The reversal of 146815128 is 821518641.

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 = 146815092 and 146815101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146815121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372051 + ... + 1372157.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 2^146815128 is an apocalyptic number.

146815128 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 146815128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227448000).

146815128 is an abundant number, since it is smaller than the sum of its proper divisors (308080872).

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

146815128 is a wasteful number, since it uses less digits than its factorization.

146815128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 146815128 is about 12116.7292616448. The cubic root of 146815128 is about 527.5418718961.

The spelling of 146815128 in words is "one hundred forty-six million, eight hundred fifteen thousand, one hundred twenty-eight".