144512437972 has 72 divisors (see below), whose sum is σ = 309840800640. Its totient is φ = 58641770880.

The previous prime is 144512437943. The next prime is 144512437997. The reversal of 144512437972 is 279734215441.

144512437972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144512437972² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7412197 + ... + 7431667.

Almost surely, 2^144512437972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144512437972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154920400320).

144512437972 is an abundant number, since it is smaller than the sum of its proper divisors (165328362668).

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

144512437972 is a wasteful number, since it uses less digits than its factorization.

144512437972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21501 (or 21492 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

The spelling of 144512437972 in words is "one hundred forty-four billion, five hundred twelve million, four hundred thirty-seven thousand, nine hundred seventy-two".