154009392768 has 1280 divisors, whose sum is σ = 606633984000. Its totient is φ = 38407219200.

The previous prime is 154009392743. The next prime is 154009392787. The reversal of 154009392768 is 867293900451.

154009392768 is a `hidden beast` number, since 1 + 5 + 400 + 93 + 92 + 7 + 68 = 666.

154009392768 is digitally balanced in base 2, 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 (54).

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 159 ways as a sum of consecutive naturals, for example, 1212672321 + ... + 1212672447.

It is an arithmetic number, because the mean of its divisors is an integer number (473932800).

It is a 1-persistent number, because it is pandigital, but 2⋅154009392768 = 308018785536 is not.

Almost surely, 2^154009392768 is an apocalyptic number.

154009392768 is a gapful number since it is divisible by the number (18) 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 154009392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303316992000).

154009392768 is an abundant number, since it is smaller than the sum of its proper divisors (452624591232).

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

154009392768 is a wasteful number, since it uses less digits than its factorization.

154009392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 154009392768 in words is "one hundred fifty-four billion, nine million, three hundred ninety-two thousand, seven hundred sixty-eight".