145142120000000 has 640 divisors, whose sum is σ = 374692771252800. Its totient is φ = 56125440000000.

The previous prime is 145142119999993. The next prime is 145142120000047. The reversal of 145142120000000 is 21241541.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 144662391994624 + 479728005376 = 12027568^2 + 692624^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 415879999826 + ... + 415880000174.

Almost surely, 2^{145142120000000} is an apocalyptic number.

145142120000000 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 145142120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187346385626400).

145142120000000 is an abundant number, since it is smaller than the sum of its proper divisors (229550651252800).

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

145142120000000 is an frugal number, since it uses more digits than its factorization.

145142120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 145142120000000 its reverse (21241541), we get a palindrome (145142141241541).

The spelling of 145142120000000 in words is "one hundred forty-five trillion, one hundred forty-two billion, one hundred twenty million", and thus it is an aban number.