155556000 has 288 divisors, whose sum is σ = 574938000. Its totient is φ = 39782400.

The previous prime is 155555989. The next prime is 155556017. The reversal of 155556000 is 655551.

155556000 is a `hidden beast` number, since 1 + 5 + 5 + 55 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104976 + 155451024 = 324^2 + 12468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043926 + ... + 1044074.

Almost surely, 2^155556000 is an apocalyptic number.

155556000 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 155556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287469000).

155556000 is an abundant number, since it is smaller than the sum of its proper divisors (419382000).

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

155556000 is a wasteful number, since it uses less digits than its factorization.

155556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 155556000 is about 12472.2091066499. The cubic root of 155556000 is about 537.8100608739.

The spelling of 155556000 in words is "one hundred fifty-five million, five hundred fifty-six thousand".