145340342300 has 144 divisors (see below), whose sum is σ = 351930912480. Its totient is φ = 51775488000.

The previous prime is 145340342261. The next prime is 145340342327. The reversal of 145340342300 is 3243043541.

It is a super-2 number, since 2×145340342300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34268180 + ... + 34272420.

It is an arithmetic number, because the mean of its divisors is an integer number (2443964670).

Almost surely, 2^145340342300 is an apocalyptic number.

145340342300 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 145340342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175965456240).

145340342300 is an abundant number, since it is smaller than the sum of its proper divisors (206590570180).

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

145340342300 is a wasteful number, since it uses less digits than its factorization.

145340342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 145340342300 its reverse (3243043541), we get a palindrome (148583385841).

The spelling of 145340342300 in words is "one hundred forty-five billion, three hundred forty million, three hundred forty-two thousand, three hundred".