145812990843025 has 81 divisors (see below), whose sum is σ = 199786863022257. Its totient is φ = 105489864480000.

The previous prime is 145812990843011. The next prime is 145812990843043. The reversal of 145812990843025 is 520348099218541.

It is a happy number.

The square root of 145812990843025 is 12075305.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2169985309569 + 143643005533456 = 1473087^2 + 11985116^2 .

It is not a de Polignac number, because 145812990843025 - 2¹⁷ = 145812990711953 is a prime.

It is a super-2 number, since 2×145812990843025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian 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 80 ways as a sum of consecutive naturals, for example, 160058167320 + ... + 160058168230.

Almost surely, 2^{145812990843025} is an apocalyptic number.

145812990843025 is the 12075305-th square number.

145812990843025 is the 6037653-rd centered octagonal number.

It is an amenable number.

145812990843025 is a deficient number, since it is larger than the sum of its proper divisors (53973872179232).

145812990843025 is an frugal number, since it uses more digits than its factorization.

145812990843025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 61.

The spelling of 145812990843025 in words is "one hundred forty-five trillion, eight hundred twelve billion, nine hundred ninety million, eight hundred forty-three thousand, twenty-five".