145659712454352 has 200 divisors, whose sum is σ = 424910894364000. Its totient is φ = 48170728988928.

The previous prime is 145659712454299. The next prime is 145659712454381. The reversal of 145659712454352 is 253454217956541.

145659712454352 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 597 + 1 + 2 + 4 + 5 + 4 + 35 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145659712454352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133544899 + ... + 134631197.

It is an arithmetic number, because the mean of its divisors is an integer number (2124554471820).

Almost surely, 2^{145659712454352} is an apocalyptic number.

145659712454352 is a gapful number since it is divisible by the number (12) 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 145659712454352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212455447182000).

145659712454352 is an abundant number, since it is smaller than the sum of its proper divisors (279251181909648).

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

145659712454352 is a wasteful number, since it uses less digits than its factorization.

145659712454352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087135 (or 1087120 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 145659712454352 in words is "one hundred forty-five trillion, six hundred fifty-nine billion, seven hundred twelve million, four hundred fifty-four thousand, three hundred fifty-two".