155055600 has 360 divisors, whose sum is σ = 644177520. Its totient is φ = 35320320.

The previous prime is 155055557. The next prime is 155055613. The reversal of 155055600 is 6550551.

155055600 is a `hidden beast` number, since 1 + 5 + 5 + 0 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529054 + ... + 529346.

It is an arithmetic number, because the mean of its divisors is an integer number (1789382).

Almost surely, 2^155055600 is an apocalyptic number.

155055600 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 155055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322088760).

155055600 is an abundant number, since it is smaller than the sum of its proper divisors (489121920).

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

155055600 is a wasteful number, since it uses less digits than its factorization.

155055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

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

The square root of 155055600 is about 12452.1323475138. The cubic root of 155055600 is about 537.2327570002.

The spelling of 155055600 in words is "one hundred fifty-five million, fifty-five thousand, six hundred".