150412800 has 120 divisors (see below), whose sum is σ = 497006136. Its totient is φ = 40099840.

The previous prime is 150412799. The next prime is 150412811. The reversal of 150412800 is 8214051.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36442 + ... + 40358.

Almost surely, 2^150412800 is an apocalyptic number.

150412800 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 150412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248503068).

150412800 is an abundant number, since it is smaller than the sum of its proper divisors (346593336).

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

150412800 is an equidigital number, since it uses as much as digits as its factorization.

150412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 150412800 is about 12264.2896247602. The cubic root of 150412800 is about 531.8162442235.

Adding to 150412800 its reverse (8214051), we get a palindrome (158626851).

The spelling of 150412800 in words is "one hundred fifty million, four hundred twelve thousand, eight hundred".