155345886133200 has 1080 divisors, whose sum is σ = 647601284079360. Its totient is φ = 34348246732800.

The previous prime is 155345886133177. The next prime is 155345886133283. The reversal of 155345886133200 is 2331688543551.

155345886133200 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 4 + 588 + 6 + 1 + 33 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19396410796 + ... + 19396418804.

It is an arithmetic number, because the mean of its divisors is an integer number (599630818592).

Almost surely, 2^{155345886133200} is an apocalyptic number.

155345886133200 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 155345886133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323800642039680).

155345886133200 is an abundant number, since it is smaller than the sum of its proper divisors (492255397946160).

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

155345886133200 is a wasteful number, since it uses less digits than its factorization.

155345886133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625 (or 11604 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 155345886133200 in words is "one hundred fifty-five trillion, three hundred forty-five billion, eight hundred eighty-six million, one hundred thirty-three thousand, two hundred".