154955121984 has 448 divisors, whose sum is σ = 528472806400. Its totient is φ = 44113434624.

The previous prime is 154955121973. The next prime is 154955121989. The reversal of 154955121984 is 489121559451.

154955121984 is a `hidden beast` number, since 1 + 5 + 4 + 9 + 551 + 2 + 1 + 9 + 84 = 666.

It is a super-2 number, since 2×154955121984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 154955121984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154955121989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18348867 + ... + 18357309.

It is an arithmetic number, because the mean of its divisors is an integer number (1179626800).

Almost surely, 2^154955121984 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 154955121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264236403200).

154955121984 is an abundant number, since it is smaller than the sum of its proper divisors (373517684416).

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

154955121984 is a wasteful number, since it uses less digits than its factorization.

154955121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539 (or 8523 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The spelling of 154955121984 in words is "one hundred fifty-four billion, nine hundred fifty-five million, one hundred twenty-one thousand, nine hundred eighty-four".