145029995265600 has 189 divisors, whose sum is σ = 515475982790067. Its totient is φ = 38674280033280.

The previous prime is 145029995265569. The next prime is 145029995265613. The reversal of 145029995265600 is 6562599920541.

The square root of 145029995265600 is 12042840.

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

145029995265600 is a `hidden beast` number, since 1 + 4 + 50 + 2 + 9 + 9 + 9 + 526 + 56 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22842970242624 + 122187025022976 = 4779432^2 + 11053824^2 .

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, 1445090622 + ... + 1445190978.

Almost surely, 2^{145029995265600} is an apocalyptic number.

145029995265600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145029995265600 is the 12042840-th square number.

It is an amenable number.

145029995265600 is an abundant number, since it is smaller than the sum of its proper divisors (370445987524467).

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

145029995265600 is an frugal number, since it uses more digits than its factorization.

145029995265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200742 (or 100367 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 145029995265600 in words is "one hundred forty-five trillion, twenty-nine billion, nine hundred ninety-five million, two hundred sixty-five thousand, six hundred".