145135205555200 has 264 divisors, whose sum is σ = 416107485666432. Its totient is φ = 49161111060480.

The previous prime is 145135205555189. The next prime is 145135205555267. The reversal of 145135205555200 is 2555502531541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9994647 + ... + 19752553.

Almost surely, 2^{145135205555200} is an apocalyptic number.

145135205555200 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 145135205555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208053742833216).

145135205555200 is an abundant number, since it is smaller than the sum of its proper divisors (270972280111232).

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

145135205555200 is an equidigital number, since it uses as much as digits as its factorization.

145135205555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9758027 (or 9758004 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 43.

The spelling of 145135205555200 in words is "one hundred forty-five trillion, one hundred thirty-five billion, two hundred five million, five hundred fifty-five thousand, two hundred".