145520541410500 has 48 divisors (see below), whose sum is σ = 317828824722864. Its totient is φ = 58206025670400.

The previous prime is 145520541410473. The next prime is 145520541410507. The reversal of 145520541410500 is 5014145025541.

145520541410500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 53730307369216 + 91790234041284 = 7330096^2 + 9580722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145520541410500.

It is not an unprimeable number, because it can be changed into a prime (145520541410507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7852582 + ... + 18780418.

It is an arithmetic number, because the mean of its divisors is an integer number (6621433848393).

Almost surely, 2^{145520541410500} is an apocalyptic number.

145520541410500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145520541410500 is an abundant number, since it is smaller than the sum of its proper divisors (172308283312364).

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

145520541410500 is a wasteful number, since it uses less digits than its factorization.

145520541410500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954489 (or 10954477 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 37.

The spelling of 145520541410500 in words is "one hundred forty-five trillion, five hundred twenty billion, five hundred forty-one million, four hundred ten thousand, five hundred".