150444000 has 384 divisors, whose sum is σ = 628992000. Its totient is φ = 34214400.

The previous prime is 150443987. The next prime is 150444013. The reversal of 150444000 is 444051.

It is an interprime number because it is at equal distance from previous prime (150443987) and next prime (150444013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755901 + ... + 756099.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^150444000 is an apocalyptic number.

150444000 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 150444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

150444000 is an abundant number, since it is smaller than the sum of its proper divisors (478548000).

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

150444000 is a wasteful number, since it uses less digits than its factorization.

150444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150444000 is about 12265.5615444218. The cubic root of 150444000 is about 531.8530130794.

Adding to 150444000 its reverse (444051), we get a palindrome (150888051).

It can be divided in two parts, 15044 and 4000, that added together give a square (19044 = 138²).

The spelling of 150444000 in words is "one hundred fifty million, four hundred forty-four thousand".