155133200 has 60 divisors (see below), whose sum is σ = 374040420. Its totient is φ = 61831680.

The previous prime is 155133191. The next prime is 155133203. The reversal of 155133200 is 2331551.

It can be written as a sum of positive squares in 6 ways, for example, as 976144 + 154157056 = 988^2 + 12416^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (155133203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155102 + ... + 156098.

It is an arithmetic number, because the mean of its divisors is an integer number (6234007).

Almost surely, 2^155133200 is an apocalyptic number.

155133200 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 155133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187020210).

155133200 is an abundant number, since it is smaller than the sum of its proper divisors (218907220).

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

155133200 is a wasteful number, since it uses less digits than its factorization.

155133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 155133200 is about 12455.2478899458. The cubic root of 155133200 is about 537.3223642318.

Adding to 155133200 its reverse (2331551), we get a palindrome (157464751).

The spelling of 155133200 in words is "one hundred fifty-five million, one hundred thirty-three thousand, two hundred".