150326400 has 192 divisors, whose sum is σ = 566124480. Its totient is φ = 34344960.

The previous prime is 150326357. The next prime is 150326417. The reversal of 150326400 is 4623051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66082 + ... + 68318.

It is an arithmetic number, because the mean of its divisors is an integer number (2948565).

Almost surely, 2^150326400 is an apocalyptic number.

150326400 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 150326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283062240).

150326400 is an abundant number, since it is smaller than the sum of its proper divisors (415798080).

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

150326400 is a wasteful number, since it uses less digits than its factorization.

150326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 150326400 is about 12260.7666970708. The cubic root of 150326400 is about 531.7143962330.

Adding to 150326400 its reverse (4623051), we get a palindrome (154949451).

The spelling of 150326400 in words is "one hundred fifty million, three hundred twenty-six thousand, four hundred".