144037306512 has 400 divisors, whose sum is σ = 494581773312. Its totient is φ = 39967395840.

The previous prime is 144037306487. The next prime is 144037306513. The reversal of 144037306512 is 215603730441.

It is a super-2 number, since 2×144037306512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144037306513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8958993 + ... + 8975055.

Almost surely, 2^144037306512 is an apocalyptic number.

144037306512 is a gapful number since it is divisible by the number (12) 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 144037306512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247290886656).

144037306512 is an abundant number, since it is smaller than the sum of its proper divisors (350544466800).

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

144037306512 is a wasteful number, since it uses less digits than its factorization.

144037306512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16148 (or 16133 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 144037306512 in words is "one hundred forty-four billion, thirty-seven million, three hundred six thousand, five hundred twelve".