154201344000000 has 840 divisors, whose sum is σ = 560738589329184. Its totient is φ = 37380096000000.

The previous prime is 154201343999977. The next prime is 154201344000017. The reversal of 154201344000000 is 443102451.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 8447990874 + ... + 8448009126.

Almost surely, 2^{154201344000000} is an apocalyptic number.

154201344000000 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 154201344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280369294664592).

154201344000000 is an abundant number, since it is smaller than the sum of its proper divisors (406537245329184).

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

154201344000000 is an frugal number, since it uses more digits than its factorization.

154201344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18325 (or 18274 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 154201344000000 its reverse (443102451), we get a palindrome (154201787102451).

The spelling of 154201344000000 in words is "one hundred fifty-four trillion, two hundred one billion, three hundred forty-four million", and thus it is an aban number.