390148128 has 288 divisors, whose sum is σ = 1254839040. Its totient is φ = 114462720.

The previous prime is 390148127. The next prime is 390148163. The reversal of 390148128 is 821841093.

390148128 is a `hidden beast` number, since 390 + 148 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 390148092 and 390148101.

It is not an unprimeable number, because it can be changed into a prime (390148123) 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, 8301001 + ... + 8301047.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^390148128 is an apocalyptic number.

390148128 is a gapful number since it is divisible by the number (38) 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 390148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

390148128 is an abundant number, since it is smaller than the sum of its proper divisors (864690912).

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

390148128 is a wasteful number, since it uses less digits than its factorization.

390148128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 390148128 is about 19752.1676785106. The cubic root of 390148128 is about 730.7068452222.

The spelling of 390148128 in words is "three hundred ninety million, one hundred forty-eight thousand, one hundred twenty-eight".