151300 has 36 divisors (see below), whose sum is σ = 351540. Its totient is φ = 56320.

The previous prime is 151289. The next prime is 151303. The reversal of 151300 is 3151.

It can be written as a sum of positive squares in 6 ways, for example, as 3844 + 147456 = 62^2 + 384^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151303) by changing a digit.

151300 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 11 ways as a sum of consecutive naturals, for example, 1656 + ... + 1744.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2¹⁵¹³⁰⁰ is an apocalyptic number.

151300 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 151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175770).

151300 is an abundant number, since it is smaller than the sum of its proper divisors (200240).

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

151300 is a wasteful number, since it uses less digits than its factorization.

151300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 151300 is about 388.9730067755. The cubic root of 151300 is about 53.2859822782.

Adding to 151300 its reverse (3151), we get a palindrome (154451).

The spelling of 151300 in words is "one hundred fifty-one thousand, three hundred".