155808900 has 288 divisors, whose sum is σ = 565797120. Its totient is φ = 36495360.

The previous prime is 155808889. The next prime is 155808931. The reversal of 155808900 is 9808551.

155808900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 807204 + ... + 807396.

Almost surely, 2^155808900 is an apocalyptic number.

155808900 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 155808900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282898560).

155808900 is an abundant number, since it is smaller than the sum of its proper divisors (409988220).

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

155808900 is a wasteful number, since it uses less digits than its factorization.

155808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 155808900 is about 12482.3435299626. The cubic root of 155808900 is about 538.1013568750.

The spelling of 155808900 in words is "one hundred fifty-five million, eight hundred eight thousand, nine hundred".