149392293361024 has 128 divisors (see below), whose sum is σ = 344818769299200. Its totient is φ = 63146103465984.

The previous prime is 149392293360997. The next prime is 149392293361039. The reversal of 149392293361024 is 420163392293941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 149392293361024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41942922 + ... + 45365110.

It is an arithmetic number, because the mean of its divisors is an integer number (2693896635150).

Almost surely, 2^{149392293361024} is an apocalyptic number.

149392293361024 is a gapful number since it is divisible by the number (14) 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 149392293361024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172409384649600).

149392293361024 is an abundant number, since it is smaller than the sum of its proper divisors (195426475938176).

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

149392293361024 is an equidigital number, since it uses as much as digits as its factorization.

149392293361024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422880 (or 3422868 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 58.

The spelling of 149392293361024 in words is "one hundred forty-nine trillion, three hundred ninety-two billion, two hundred ninety-three million, three hundred sixty-one thousand, twenty-four".