155014834121406 has 288 divisors, whose sum is σ = 417573450328320. Its totient is φ = 41315684256000.

The previous prime is 155014834121377. The next prime is 155014834121489. The reversal of 155014834121406 is 604121438410551.

155014834121406 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 1 + 483 + 4 + 121 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2864200026 + ... + 2864254146.

It is an arithmetic number, because the mean of its divisors is an integer number (1449907813640).

Almost surely, 2^{155014834121406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155014834121406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208786725164160).

155014834121406 is an abundant number, since it is smaller than the sum of its proper divisors (262558616206914).

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

155014834121406 is a wasteful number, since it uses less digits than its factorization.

155014834121406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56780 (or 56770 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 155014834121406 in words is "one hundred fifty-five trillion, fourteen billion, eight hundred thirty-four million, one hundred twenty-one thousand, four hundred six".