146128640 has 144 divisors (see below), whose sum is σ = 409715712. Its totient is φ = 48893952.

The previous prime is 146128627. The next prime is 146128643. The reversal of 146128640 is 46821641.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 146128597 and 146128606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146128643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420947 + ... + 421293.

It is an arithmetic number, because the mean of its divisors is an integer number (2845248).

Almost surely, 2^146128640 is an apocalyptic number.

146128640 is a gapful number since it is divisible by the number (10) 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 146128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204857856).

146128640 is an abundant number, since it is smaller than the sum of its proper divisors (263587072).

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

146128640 is an equidigital number, since it uses as much as digits as its factorization.

146128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 146128640 is about 12088.3679626325. The cubic root of 146128640 is about 526.7183484685.

The spelling of 146128640 in words is "one hundred forty-six million, one hundred twenty-eight thousand, six hundred forty".