150412000 has 96 divisors (see below), whose sum is σ = 381798144. Its totient is φ = 58176000.

The previous prime is 150411991. The next prime is 150412007. The reversal of 150412000 is 214051.

150412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150412007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123394 + ... + 124606.

It is an arithmetic number, because the mean of its divisors is an integer number (3977064).

Almost surely, 2^150412000 is an apocalyptic number.

150412000 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 150412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190899072).

150412000 is an abundant number, since it is smaller than the sum of its proper divisors (231386144).

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

150412000 is a wasteful number, since it uses less digits than its factorization.

150412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 150412000 is about 12264.2570097010. The cubic root of 150412000 is about 531.8153013655.

Adding to 150412000 its reverse (214051), we get a palindrome (150626051).

The spelling of 150412000 in words is "one hundred fifty million, four hundred twelve thousand".