145241062560000 has 2025 divisors, whose sum is σ = 582633806950195. Its totient is φ = 34785738240000.

The previous prime is 145241062559977. The next prime is 145241062560023. The reversal of 145241062560000 is 65260142541.

The square root of 145241062560000 is 12051600.

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

145241062560000 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 41 + 0 + 6 + 2 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145241062559977) and next prime (145241062560023).

It can be written as a sum of positive squares in 2 ways, for example, as 11386899304704 + 133854163255296 = 3374448^2 + 11569536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1749892319959 + ... + 1749892320041.

Almost surely, 2^{145241062560000} is an apocalyptic number.

145241062560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145241062560000 is the 12051600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145241062560000

145241062560000 is an abundant number, since it is smaller than the sum of its proper divisors (437392744390195).

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

145241062560000 is an frugal number, since it uses more digits than its factorization.

145241062560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

145241062560000 divided by its sum of digits (36) gives a square (4034473960000 = 2008600²).

145241062560000 divided by its product of nonzero digits (57600) gives a square (2521546225 = 50215²).

The spelling of 145241062560000 in words is "one hundred forty-five trillion, two hundred forty-one billion, sixty-two million, five hundred sixty thousand".