145124350144100 has 18 divisors (see below), whose sum is σ = 314919839812914. Its totient is φ = 58049740057600.

The previous prime is 145124350144073. The next prime is 145124350144129. The reversal of 145124350144100 is 1441053421541.

145124350144100 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 3 ways, for example, as 24029819688484 + 121094530455616 = 4902022^2 + 11004296^2 .

It is a super-2 number, since 2×145124350144100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 725621750621 + ... + 725621750820.

It is an arithmetic number, because the mean of its divisors is an integer number (17495546656273).

Almost surely, 2^{145124350144100} is an apocalyptic number.

145124350144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145124350144100 is an abundant number, since it is smaller than the sum of its proper divisors (169795489668814).

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

145124350144100 is a wasteful number, since it uses less digits than its factorization.

145124350144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451243501455 (or 1451243501448 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 145124350144100 in words is "one hundred forty-five trillion, one hundred twenty-four billion, three hundred fifty million, one hundred forty-four thousand, one hundred".