145405525300 has 108 divisors (see below), whose sum is σ = 367756048044. Its totient is φ = 49756761600.

The previous prime is 145405525297. The next prime is 145405525319. The reversal of 145405525300 is 3525504541.

145405525300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31131779364 + 114273745936 = 176442^2 + 338044^2 .

It is a super-3 number, since 3×145405525300³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2524422 + ... + 2581378.

It is an arithmetic number, because the mean of its divisors is an integer number (3405148593).

Almost surely, 2^145405525300 is an apocalyptic number.

145405525300 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 145405525300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183878024022).

145405525300 is an abundant number, since it is smaller than the sum of its proper divisors (222350522744).

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

145405525300 is a wasteful number, since it uses less digits than its factorization.

145405525300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57506 (or 57492 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 145405525300 in words is "one hundred forty-five billion, four hundred five million, five hundred twenty-five thousand, three hundred".