151830900 has 216 divisors, whose sum is σ = 540277920. Its totient is φ = 35354880.

The previous prime is 151830883. The next prime is 151830907. The reversal of 151830900 is 9038151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151830907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221959 + ... + 222641.

Almost surely, 2^151830900 is an apocalyptic number.

151830900 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 151830900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

151830900 is an abundant number, since it is smaller than the sum of its proper divisors (388447020).

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

151830900 is a wasteful number, since it uses less digits than its factorization.

151830900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 151830900 is about 12321.9681869416. The cubic root of 151830900 is about 533.4823498531.

The spelling of 151830900 in words is "one hundred fifty-one million, eight hundred thirty thousand, nine hundred".