145430334300 has 288 divisors, whose sum is σ = 433472256000. Its totient is φ = 37635840000.

The previous prime is 145430334289. The next prime is 145430334307. The reversal of 145430334300 is 3433034541.

145430334300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145430334300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145430334307) 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 95 ways as a sum of consecutive naturals, for example, 536643165 + ... + 536643435.

It is an arithmetic number, because the mean of its divisors is an integer number (1505112000).

Almost surely, 2^145430334300 is an apocalyptic number.

145430334300 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 145430334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216736128000).

145430334300 is an abundant number, since it is smaller than the sum of its proper divisors (288041921700).

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

145430334300 is a wasteful number, since it uses less digits than its factorization.

145430334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 145430334300 its reverse (3433034541), we get a palindrome (148863368841).

The spelling of 145430334300 in words is "one hundred forty-five billion, four hundred thirty million, three hundred thirty-four thousand, three hundred".