155005200 has 180 divisors, whose sum is σ = 614855488. Its totient is φ = 35424000.

The previous prime is 155005187. The next prime is 155005217. The reversal of 155005200 is 2500551.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×155005200² = 48053224054080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 22125 + ... + 28275.

Almost surely, 2^155005200 is an apocalyptic number.

155005200 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 155005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307427744).

155005200 is an abundant number, since it is smaller than the sum of its proper divisors (459850288).

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

155005200 is a wasteful number, since it uses less digits than its factorization.

155005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 155005200 is about 12450.1084332627. The cubic root of 155005200 is about 537.1745424733.

Adding to 155005200 its reverse (2500551), we get a palindrome (157505751).

The spelling of 155005200 in words is "one hundred fifty-five million, five thousand, two hundred".