145154044200000 has 1008 divisors, whose sum is σ = 550590246218880. Its totient is φ = 33658521600000.

The previous prime is 145154044199951. The next prime is 145154044200001. The reversal of 145154044200000 is 2440451541.

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

It is not an unprimeable number, because it can be changed into a prime (145154044200001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1669756536 + ... + 1669843464.

It is an arithmetic number, because the mean of its divisors is an integer number (546220482360).

Almost surely, 2^{145154044200000} is an apocalyptic number.

145154044200000 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 145154044200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275295123109440).

145154044200000 is an abundant number, since it is smaller than the sum of its proper divisors (405436202018880).

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

145154044200000 is an equidigital number, since it uses as much as digits as its factorization.

145154044200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87014 (or 86973 counting only the distinct ones).

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

Adding to 145154044200000 its reverse (2440451541), we get a palindrome (145156484651541).

The spelling of 145154044200000 in words is "one hundred forty-five trillion, one hundred fifty-four billion, forty-four million, two hundred thousand".