145082710656 has 576 divisors, whose sum is σ = 475130171880. Its totient is φ = 43858132992.

The previous prime is 145082710637. The next prime is 145082710667. The reversal of 145082710656 is 656017280541.

145082710656 is a `hidden beast` number, since 1 + 450 + 82 + 71 + 0 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102886977600 + 42195733056 = 320760^2 + 205416^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1058997820 + ... + 1058997956.

Almost surely, 2^145082710656 is an apocalyptic number.

145082710656 is a gapful number since it is divisible by the number (16) 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 145082710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237565085940).

145082710656 is an abundant number, since it is smaller than the sum of its proper divisors (330047461224).

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

145082710656 is an frugal number, since it uses more digits than its factorization.

145082710656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 145082710656 in words is "one hundred forty-five billion, eighty-two million, seven hundred ten thousand, six hundred fifty-six".