150798144 has 224 divisors, whose sum is σ = 487192320. Its totient is φ = 40255488.

The previous prime is 150798139. The next prime is 150798169. The reversal of 150798144 is 441897051.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2065692 + ... + 2065764.

Almost surely, 2^150798144 is an apocalyptic number.

150798144 is a gapful number since it is divisible by the number (14) 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 150798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243596160).

150798144 is an abundant number, since it is smaller than the sum of its proper divisors (336394176).

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

150798144 is a wasteful number, since it uses less digits than its factorization.

150798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 150798144 is about 12279.9895765428. The cubic root of 150798144 is about 532.2700119914.

The spelling of 150798144 in words is "one hundred fifty million, seven hundred ninety-eight thousand, one hundred forty-four".