145728439416 has 576 divisors, whose sum is σ = 508508582400. Its totient is φ = 38869673472.

The previous prime is 145728439403. The next prime is 145728439457. The reversal of 145728439416 is 614934827541.

145728439416 is a `hidden beast` number, since 14 + 572 + 8 + 43 + 9 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132119521 + ... + 132120623.

It is an arithmetic number, because the mean of its divisors is an integer number (882827400).

Almost surely, 2^145728439416 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 145728439416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254254291200).

145728439416 is an abundant number, since it is smaller than the sum of its proper divisors (362780142984).

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

145728439416 is a wasteful number, since it uses less digits than its factorization.

145728439416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1207 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 145728439416 in words is "one hundred forty-five billion, seven hundred twenty-eight million, four hundred thirty-nine thousand, four hundred sixteen".