145878011424 has 240 divisors, whose sum is σ = 458141080320. Its totient is φ = 45434027520.

The previous prime is 145878011417. The next prime is 145878011429. The reversal of 145878011424 is 424110878541.

145878011424 is a `hidden beast` number, since 1 + 458 + 7 + 80 + 114 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145878011424.

It is not an unprimeable number, because it can be changed into a prime (145878011429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2298907 + ... + 2361509.

It is an arithmetic number, because the mean of its divisors is an integer number (1908921168).

Almost surely, 2^145878011424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145878011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229070540160).

145878011424 is an abundant number, since it is smaller than the sum of its proper divisors (312263068896).

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

145878011424 is a wasteful number, since it uses less digits than its factorization.

145878011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62685 (or 62668 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

Adding to 145878011424 its reverse (424110878541), we get a palindrome (569988889965).

The spelling of 145878011424 in words is "one hundred forty-five billion, eight hundred seventy-eight million, eleven thousand, four hundred twenty-four".