151830 has 48 divisors (see below), whose sum is σ = 453024. Its totient is φ = 34560.

The previous prime is 151817. The next prime is 151841. The reversal of 151830 is 38151.

It is a happy number.

151830 is nontrivially palindromic in base 4.

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

It is a congruent number.

It is an unprimeable 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, 510 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (9438).

2¹⁵¹⁸³⁰ is an apocalyptic number.

151830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226512).

151830 is an abundant number, since it is smaller than the sum of its proper divisors (301194).

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

151830 is a wasteful number, since it uses less digits than its factorization.

151830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151830 is about 389.6536923988. The cubic root of 151830 is about 53.3481295753.

Adding to 151830 its reverse (38151), we get a palindrome (189981).

The spelling of 151830 in words is "one hundred fifty-one thousand, eight hundred thirty".