151200 has 144 divisors (see below), whose sum is σ = 624960. Its totient is φ = 34560.

The previous prime is 151189. The next prime is 151201. The reversal of 151200 is 2151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×151200² = 45722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (151201) by changing a digit.

151200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21597 + ... + 21603.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2¹⁵¹²⁰⁰ is an apocalyptic number.

151200 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 151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

151200 is an abundant number, since it is smaller than the sum of its proper divisors (473760).

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

151200 is a wasteful number, since it uses less digits than its factorization.

151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 151200 is about 388.8444419045. The cubic root of 151200 is about 53.2742401046.

Adding to 151200 its reverse (2151), we get a palindrome (153351).

It can be divided in two parts, 151 and 200, that added together give a triangular number (351 = T₂₆).

The spelling of 151200 in words is "one hundred fifty-one thousand, two hundred".