145434300000 has 288 divisors, whose sum is σ = 520567181568. Its totient is φ = 35256000000.

The previous prime is 145434299987. The next prime is 145434300007. The reversal of 145434300000 is 3434541.

It is a super-2 number, since 2×145434300000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145434300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277965 + ... + 3322035.

It is an arithmetic number, because the mean of its divisors is an integer number (1807524936).

Almost surely, 2^145434300000 is an apocalyptic number.

145434300000 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 145434300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260283590784).

145434300000 is an abundant number, since it is smaller than the sum of its proper divisors (375132881568).

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

145434300000 is an equidigital number, since it uses as much as digits as its factorization.

145434300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44120 (or 44092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 145434300000 its reverse (3434541), we get a palindrome (145437734541).

The spelling of 145434300000 in words is "one hundred forty-five billion, four hundred thirty-four million, three hundred thousand".