146289640 has 64 divisors (see below), whose sum is σ = 385378560. Its totient is φ = 48929280.

The previous prime is 146289623. The next prime is 146289653. The reversal of 146289640 is 46982641.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 146289593 and 146289602.

It is an unprimeable number.

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, 5109 + ... + 17851.

It is an arithmetic number, because the mean of its divisors is an integer number (6021540).

Almost surely, 2^146289640 is an apocalyptic number.

146289640 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 146289640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192689280).

146289640 is an abundant number, since it is smaller than the sum of its proper divisors (239088920).

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

146289640 is a wasteful number, since it uses less digits than its factorization.

146289640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 146289640 is about 12095.0254237021. The cubic root of 146289640 is about 526.9117181123.

The spelling of 146289640 in words is "one hundred forty-six million, two hundred eighty-nine thousand, six hundred forty".