145301519675664 has 405 divisors, whose sum is σ = 455827707523461. Its totient is φ = 43174921870080.

The previous prime is 145301519675647. The next prime is 145301519675681. The reversal of 145301519675664 is 466576915103541.

The square root of 145301519675664 is 12054108.

It is a perfect power (a square), and thus also a powerful number.

145301519675664 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 0 + 1 + 5 + 1 + 9 + 67 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (145301519675647) and next prime (145301519675681).

It can be written as a sum of positive squares in only one way, i.e., 104747446544400 + 40554073131264 = 10234620^2 + 6368208^2 .

It is a super-2 number, since 2×145301519675664² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84330538707 + ... + 84330540429.

Almost surely, 2^{145301519675664} is an apocalyptic number.

145301519675664 is the 12054108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145301519675664

145301519675664 is an abundant number, since it is smaller than the sum of its proper divisors (310526187847797).

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

145301519675664 is an equidigital number, since it uses as much as digits as its factorization.

145301519675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 145301519675664 in words is "one hundred forty-five trillion, three hundred one billion, five hundred nineteen million, six hundred seventy-five thousand, six hundred sixty-four".