154113122400000 has 432 divisors, whose sum is σ = 530352916178400. Its totient is φ = 39679682560000.

The previous prime is 154113122399981. The next prime is 154113122400011. The reversal of 154113122400000 is 4221311451.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68492866 + ... + 70707134.

It is an arithmetic number, because the mean of its divisors is an integer number (1227668787450).

Almost surely, 2^{154113122400000} is an apocalyptic number.

154113122400000 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 154113122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265176458089200).

154113122400000 is an abundant number, since it is smaller than the sum of its proper divisors (376239793778400).

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

154113122400000 is an frugal number, since it uses more digits than its factorization.

154113122400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214342 (or 2214308 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 154113122400000 its reverse (4221311451), we get a palindrome (154117343711451).

The spelling of 154113122400000 in words is "one hundred fifty-four trillion, one hundred thirteen billion, one hundred twenty-two million, four hundred thousand".