145542144000 has 896 divisors, whose sum is σ = 544681013760. Its totient is φ = 34209792000.

The previous prime is 145542143977. The next prime is 145542144071. The reversal of 145542144000 is 441245541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1993727964 + ... + 1993728036.

Almost surely, 2^145542144000 is an apocalyptic number.

145542144000 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 145542144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272340506880).

145542144000 is an abundant number, since it is smaller than the sum of its proper divisors (399138869760).

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

145542144000 is an equidigital number, since it uses as much as digits as its factorization.

145542144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 145542144000 its reverse (441245541), we get a palindrome (145983389541).

The spelling of 145542144000 in words is "one hundred forty-five billion, five hundred forty-two million, one hundred forty-four thousand".