145510205764 has 81 divisors (see below), whose sum is σ = 325725617469. Its totient is φ = 56669400480.

The previous prime is 145510205759. The next prime is 145510205791. The reversal of 145510205764 is 467502015541.

The square root of 145510205764 is 381458.

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

It can be written as a sum of positive squares in only one way, i.e., 73045872900 + 72464332864 = 270270^2 + 269192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58743294 + ... + 58745770.

Almost surely, 2^145510205764 is an apocalyptic number.

145510205764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145510205764 is the 381458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145510205764

145510205764 is an abundant number, since it is smaller than the sum of its proper divisors (180215411705).

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

145510205764 is an equidigital number, since it uses as much as digits as its factorization.

145510205764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 145510205764 in words is "one hundred forty-five billion, five hundred ten million, two hundred five thousand, seven hundred sixty-four".