154221217920 has 1536 divisors, whose sum is σ = 705605644800. Its totient is φ = 31142707200.

The previous prime is 154221217903. The next prime is 154221217921. The reversal of 154221217920 is 29712122451.

It is a happy number.

154221217920 is a `hidden beast` number, since 1 + 542 + 2 + 1 + 21 + 7 + 92 + 0 = 666.

154221217920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (154221217921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600082432 + ... + 600082688.

It is an arithmetic number, because the mean of its divisors is an integer number (459378675).

Almost surely, 2^154221217920 is an apocalyptic number.

154221217920 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 154221217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352802822400).

154221217920 is an abundant number, since it is smaller than the sum of its proper divisors (551384426880).

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

154221217920 is a wasteful number, since it uses less digits than its factorization.

154221217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 154221217920 in words is "one hundred fifty-four billion, two hundred twenty-one million, two hundred seventeen thousand, nine hundred twenty".