149005264144 has 135 divisors (see below), whose sum is σ = 329058233847. Its totient is φ = 65313230400.

The previous prime is 149005264123. The next prime is 149005264147. The reversal of 149005264144 is 441462500941.

The square root of 149005264144 is 386012.

It is a perfect power (a square), and thus also a powerful number.

149005264144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149005264097 and 149005264106.

It is not an unprimeable number, because it can be changed into a prime (149005264147) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 526520227 + ... + 526520509.

Almost surely, 2^149005264144 is an apocalyptic number.

149005264144 is the 386012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149005264144

149005264144 is an abundant number, since it is smaller than the sum of its proper divisors (180052969703).

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

149005264144 is an equidigital number, since it uses as much as digits as its factorization.

149005264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 149005264144 in words is "one hundred forty-nine billion, five million, two hundred sixty-four thousand, one hundred forty-four".