145202320144 has 120 divisors (see below), whose sum is σ = 350134584000. Its totient is φ = 57987498240.

The previous prime is 145202320139. The next prime is 145202320177. The reversal of 145202320144 is 441023202541.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828757 + ... + 988555.

It is an arithmetic number, because the mean of its divisors is an integer number (2917788200).

Almost surely, 2^145202320144 is an apocalyptic number.

145202320144 is a gapful number since it is divisible by the number (14) 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 145202320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175067292000).

145202320144 is an abundant number, since it is smaller than the sum of its proper divisors (204932263856).

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

145202320144 is a wasteful number, since it uses less digits than its factorization.

145202320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159901 (or 159888 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 145202320144 its reverse (441023202541), we get a palindrome (586225522685).

The spelling of 145202320144 in words is "one hundred forty-five billion, two hundred two million, three hundred twenty thousand, one hundred forty-four".