146404290240 has 896 divisors, whose sum is σ = 604645171200. Its totient is φ = 33024983040.

The previous prime is 146404290199. The next prime is 146404290257. The reversal of 146404290240 is 42092404641.

It is a happy number.

146404290240 is a `hidden beast` number, since 1 + 4 + 6 + 404 + 2 + 9 + 0 + 240 = 666.

146404290240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 146404290195 and 146404290204.

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 127 ways as a sum of consecutive naturals, for example, 66155374 + ... + 66157586.

It is an arithmetic number, because the mean of its divisors is an integer number (674827200).

Almost surely, 2^146404290240 is an apocalyptic number.

146404290240 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 146404290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302322585600).

146404290240 is an abundant number, since it is smaller than the sum of its proper divisors (458240880960).

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

146404290240 is a wasteful number, since it uses less digits than its factorization.

146404290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 146404290240 its reverse (42092404641), we get a palindrome (188496694881).

The spelling of 146404290240 in words is "one hundred forty-six billion, four hundred four million, two hundred ninety thousand, two hundred forty".