145201573040520 has 128 divisors (see below), whose sum is σ = 439051298918400. Its totient is φ = 38414079922176.

The previous prime is 145201573040509. The next prime is 145201573040549. The reversal of 145201573040520 is 25040375102541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437176276 + ... + 437508284.

It is an arithmetic number, because the mean of its divisors is an integer number (3430088272800).

Almost surely, 2^{145201573040520} is an apocalyptic number.

145201573040520 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 145201573040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219525649459200).

145201573040520 is an abundant number, since it is smaller than the sum of its proper divisors (293849725877880).

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

145201573040520 is a wasteful number, since it uses less digits than its factorization.

145201573040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360847 (or 360843 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 145201573040520 in words is "one hundred forty-five trillion, two hundred one billion, five hundred seventy-three million, forty thousand, five hundred twenty".