145130334000 has 160 divisors (see below), whose sum is σ = 472534845120. Its totient is φ = 38318080000.

The previous prime is 145130333977. The next prime is 145130334061. The reversal of 145130334000 is 433031541.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486256 + ... + 725744.

It is an arithmetic number, because the mean of its divisors is an integer number (2953342782).

Almost surely, 2^145130334000 is an apocalyptic number.

145130334000 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 145130334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236267422560).

145130334000 is an abundant number, since it is smaller than the sum of its proper divisors (327404511120).

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

145130334000 is a wasteful number, since it uses less digits than its factorization.

145130334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239616 (or 239600 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 145130334000 its reverse (433031541), we get a palindrome (145563365541).

The spelling of 145130334000 in words is "one hundred forty-five billion, one hundred thirty million, three hundred thirty-four thousand".