145757103857664 has 224 divisors, whose sum is σ = 419255944848384. Its totient is φ = 44773657804800.

The previous prime is 145757103857657. The next prime is 145757103857671. The reversal of 145757103857664 is 466758301757541.

It is an interprime number because it is at equal distance from previous prime (145757103857657) and next prime (145757103857671).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191632737 + ... + 192391839.

It is an arithmetic number, because the mean of its divisors is an integer number (1871678325216).

Almost surely, 2^{145757103857664} 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 145757103857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209627972424192).

145757103857664 is an abundant number, since it is smaller than the sum of its proper divisors (273498840990720).

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

145757103857664 is an equidigital number, since it uses as much as digits as its factorization.

145757103857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759746 (or 759722 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 69.

The spelling of 145757103857664 in words is "one hundred forty-five trillion, seven hundred fifty-seven billion, one hundred three million, eight hundred fifty-seven thousand, six hundred sixty-four".