151205200 has 120 divisors (see below), whose sum is σ = 380556000. Its totient is φ = 57684480.

The previous prime is 151205177. The next prime is 151205207. The reversal of 151205200 is 2502151.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151205207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014726 + ... + 1014874.

It is an arithmetic number, because the mean of its divisors is an integer number (3171300).

Almost surely, 2^151205200 is an apocalyptic number.

151205200 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 151205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190278000).

151205200 is an abundant number, since it is smaller than the sum of its proper divisors (229350800).

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

151205200 is a wasteful number, since it uses less digits than its factorization.

151205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 151205200 is about 12296.5523623494. The cubic root of 151205200 is about 532.7485082518.

Adding to 151205200 its reverse (2502151), we get a palindrome (153707351).

The spelling of 151205200 in words is "one hundred fifty-one million, two hundred five thousand, two hundred".