145477583546500 has 384 divisors, whose sum is σ = 357082280755200. Its totient is φ = 51453084211200.

The previous prime is 145477583546497. The next prime is 145477583546513. The reversal of 145477583546500 is 5645385774541.

It is a happy number.

145477583546500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9471805821 + ... + 9471821179.

It is an arithmetic number, because the mean of its divisors is an integer number (929901772800).

Almost surely, 2^{145477583546500} is an apocalyptic number.

145477583546500 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 145477583546500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178541140377600).

145477583546500 is an abundant number, since it is smaller than the sum of its proper divisors (211604697208700).

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

145477583546500 is a wasteful number, since it uses less digits than its factorization.

145477583546500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15900 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 282240000, while the sum is 64.

The spelling of 145477583546500 in words is "one hundred forty-five trillion, four hundred seventy-seven billion, five hundred eighty-three million, five hundred forty-six thousand, five hundred".