144532000213000 has 256 divisors, whose sum is σ = 342319011840000. Its totient is φ = 57114902880000.

The previous prime is 144532000212991. The next prime is 144532000213037. The reversal of 144532000213000 is 312000235441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20110195407 + ... + 20110202593.

It is an arithmetic number, because the mean of its divisors is an integer number (1337183640000).

Almost surely, 2^{144532000213000} is an apocalyptic number.

144532000213000 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 144532000213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171159505920000).

144532000213000 is an abundant number, since it is smaller than the sum of its proper divisors (197787011627000).

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

144532000213000 is a wasteful number, since it uses less digits than its factorization.

144532000213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 144532000213000 its reverse (312000235441), we get a palindrome (144844000448441).

The spelling of 144532000213000 in words is "one hundred forty-four trillion, five hundred thirty-two billion, two hundred thirteen thousand".