145515935664 has 240 divisors, whose sum is σ = 468159619200. Its totient is φ = 41729126400.

The previous prime is 145515935603. The next prime is 145515935693. The reversal of 145515935664 is 466539515541.

145515935664 is a `hidden beast` number, since 1 + 4 + 551 + 59 + 35 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145515935664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35240352 + ... + 35244480.

It is an arithmetic number, because the mean of its divisors is an integer number (1950665080).

Almost surely, 2^145515935664 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 145515935664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234079809600).

145515935664 is an abundant number, since it is smaller than the sum of its proper divisors (322643683536).

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

145515935664 is a wasteful number, since it uses less digits than its factorization.

145515935664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5335 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 145515935664 in words is "one hundred forty-five billion, five hundred fifteen million, nine hundred thirty-five thousand, six hundred sixty-four".