145014300000 has 360 divisors, whose sum is σ = 533099441952. Its totient is φ = 38668320000.

The previous prime is 145014299953. The next prime is 145014300007. The reversal of 145014300000 is 3410541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145014300007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8091049 + ... + 8108951.

Almost surely, 2^145014300000 is an apocalyptic number.

145014300000 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 145014300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266549720976).

145014300000 is an abundant number, since it is smaller than the sum of its proper divisors (388085141952).

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

145014300000 is an frugal number, since it uses more digits than its factorization.

145014300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950 (or 17913 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 145014300000 its reverse (3410541), we get a palindrome (145017710541).

The spelling of 145014300000 in words is "one hundred forty-five billion, fourteen million, three hundred thousand".