154628020224 has 240 divisors, whose sum is σ = 464996291760. Its totient is φ = 51193036800.

The previous prime is 154628020193. The next prime is 154628020237. The reversal of 154628020224 is 422020826451.

154628020224 is a `hidden beast` number, since 1 + 5 + 4 + 628 + 0 + 2 + 0 + 2 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25046002 + ... + 25052174.

It is an arithmetic number, because the mean of its divisors is an integer number (1937484549).

Almost surely, 2^154628020224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154628020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232498145880).

154628020224 is an abundant number, since it is smaller than the sum of its proper divisors (310368271536).

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

154628020224 is an equidigital number, since it uses as much as digits as its factorization.

154628020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 154628020224 its reverse (422020826451), we get a palindrome (576648846675).

The spelling of 154628020224 in words is "one hundred fifty-four billion, six hundred twenty-eight million, twenty thousand, two hundred twenty-four".