146214576144 has 400 divisors, whose sum is σ = 538818846720. Its totient is φ = 37231488000.

The previous prime is 146214576143. The next prime is 146214576149. The reversal of 146214576144 is 441675412641.

146214576144 is a `hidden beast` number, since 1 + 4 + 6 + 21 + 4 + 5 + 7 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146214576144.

It is not an unprimeable number, because it can be changed into a prime (146214576143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3398769 + ... + 3441519.

Almost surely, 2^146214576144 is an apocalyptic number.

146214576144 is a gapful number since it is divisible by the number (14) 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 146214576144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269409423360).

146214576144 is an abundant number, since it is smaller than the sum of its proper divisors (392604270576).

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

146214576144 is a wasteful number, since it uses less digits than its factorization.

146214576144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42820 (or 42805 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

Adding to 146214576144 its reverse (441675412641), we get a palindrome (587889988785).

The spelling of 146214576144 in words is "one hundred forty-six billion, two hundred fourteen million, five hundred seventy-six thousand, one hundred forty-four".