146131816350 has 384 divisors, whose sum is σ = 417878254080. Its totient is φ = 33530112000.

The previous prime is 146131816339. The next prime is 146131816403. The reversal of 146131816350 is 53618131641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 146131816299 and 146131816308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 441485685 + ... + 441486015.

It is an arithmetic number, because the mean of its divisors is an integer number (1088224620).

Almost surely, 2^146131816350 is an apocalyptic number.

146131816350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146131816350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208939127040).

146131816350 is an abundant number, since it is smaller than the sum of its proper divisors (271746437730).

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

146131816350 is a wasteful number, since it uses less digits than its factorization.

146131816350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

Adding to 146131816350 its reverse (53618131641), we get a palindrome (199749947991).

The spelling of 146131816350 in words is "one hundred forty-six billion, one hundred thirty-one million, eight hundred sixteen thousand, three hundred fifty".