150814400 has 252 divisors, whose sum is σ = 439841640. Its totient is φ = 50688000.

The previous prime is 150814369. The next prime is 150814453. The reversal of 150814400 is 4418051.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3678380 + ... + 3678420.

Almost surely, 2^150814400 is an apocalyptic number.

150814400 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 150814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219920820).

150814400 is an abundant number, since it is smaller than the sum of its proper divisors (289027240).

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

150814400 is a wasteful number, since it uses less digits than its factorization.

150814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 150814400 is about 12280.6514485185. The cubic root of 150814400 is about 532.2891374930.

The spelling of 150814400 in words is "one hundred fifty million, eight hundred fourteen thousand, four hundred".