150388800 has 336 divisors, whose sum is σ = 555589440. Its totient is φ = 35389440.

The previous prime is 150388793. The next prime is 150388801. The reversal of 150388800 is 8883051.

It is not an unprimeable number, because it can be changed into a prime (150388801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550352 + ... + 1550448.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^150388800 is an apocalyptic number.

150388800 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 150388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277794720).

150388800 is an abundant number, since it is smaller than the sum of its proper divisors (405200640).

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

150388800 is a wasteful number, since it uses less digits than its factorization.

150388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 150388800 is about 12263.3111352522. The cubic root of 150388800 is about 531.7879570282.

The spelling of 150388800 in words is "one hundred fifty million, three hundred eighty-eight thousand, eight hundred".