145142400000 has 528 divisors, whose sum is σ = 521184017088. Its totient is φ = 35696640000.

The previous prime is 145142399999. The next prime is 145142400001. The reversal of 145142400000 is 4241541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145142399999) and next prime (145142400001).

It is a self number, because there is not a number n which added to its sum of digits gives 145142400000.

It is not an unprimeable number, because it can be changed into a prime (145142400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124799419 + ... + 124800581.

Almost surely, 2^145142400000 is an apocalyptic number.

145142400000 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 145142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260592008544).

145142400000 is an abundant number, since it is smaller than the sum of its proper divisors (376041617088).

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

145142400000 is an equidigital number, since it uses as much as digits as its factorization.

145142400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 145142400000 its reverse (4241541), we get a palindrome (145146641541).

The spelling of 145142400000 in words is "one hundred forty-five billion, one hundred forty-two million, four hundred thousand".