145995361075200 has 3240 divisors, whose sum is σ = 629971129590096. Its totient is φ = 29548766822400.

The previous prime is 145995361075199. The next prime is 145995361075217. The reversal of 145995361075200 is 2570163599541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2056272691165 + ... + 2056272691235.

Almost surely, 2^{145995361075200} is an apocalyptic number.

145995361075200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145995361075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314985564795048).

145995361075200 is an abundant number, since it is smaller than the sum of its proper divisors (483975768514896).

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

145995361075200 is an equidigital number, since it uses as much as digits as its factorization.

145995361075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 145995361075200 in words is "one hundred forty-five trillion, nine hundred ninety-five billion, three hundred sixty-one million, seventy-five thousand, two hundred".