145442000000 has 336 divisors, whose sum is σ = 398761106730. Its totient is φ = 52800000000.

The previous prime is 145441999993. The next prime is 145442000017. The reversal of 145442000000 is 244541.

It can be written as a sum of positive squares in 7 ways, for example, as 50632200256 + 94809799744 = 225016^2 + 307912^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 241999700 + ... + 242000300.

Almost surely, 2^145442000000 is an apocalyptic number.

145442000000 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 145442000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199380553365).

145442000000 is an abundant number, since it is smaller than the sum of its proper divisors (253319106730).

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

145442000000 is an frugal number, since it uses more digits than its factorization.

145442000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 145442000000 its reverse (244541), we get a palindrome (145442244541).

The spelling of 145442000000 in words is "one hundred forty-five billion, four hundred forty-two million", and thus it is an aban number.