150828600 has 192 divisors, whose sum is σ = 513404640. Its totient is φ = 36403200.

The previous prime is 150828599. The next prime is 150828673. The reversal of 150828600 is 6828051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475642 + ... + 475958.

Almost surely, 2^150828600 is an apocalyptic number.

150828600 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 150828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256702320).

150828600 is an abundant number, since it is smaller than the sum of its proper divisors (362576040).

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

150828600 is a wasteful number, since it uses less digits than its factorization.

150828600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 150828600 is about 12281.2295801357. The cubic root of 150828600 is about 532.3058429458.

The spelling of 150828600 in words is "one hundred fifty million, eight hundred twenty-eight thousand, six hundred".