150022800 has 240 divisors, whose sum is σ = 553536000. Its totient is φ = 38545920.

The previous prime is 150022799. The next prime is 150022823. The reversal of 150022800 is 8220051.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 312961 + ... + 313439.

It is an arithmetic number, because the mean of its divisors is an integer number (2306400).

Almost surely, 2^150022800 is an apocalyptic number.

150022800 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 150022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768000).

150022800 is an abundant number, since it is smaller than the sum of its proper divisors (403513200).

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

150022800 is a wasteful number, since it uses less digits than its factorization.

150022800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150022800 is about 12248.3794846502. The cubic root of 150022800 is about 531.3562039112.

Adding to 150022800 its reverse (8220051), we get a palindrome (158242851).

The spelling of 150022800 in words is "one hundred fifty million, twenty-two thousand, eight hundred".