150393320 has 192 divisors, whose sum is σ = 445858560. Its totient is φ = 44605440.

The previous prime is 150393311. The next prime is 150393323. The reversal of 150393320 is 23393051.

It is a self number, because there is not a number n which added to its sum of digits gives 150393320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150393323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779144 + ... + 779336.

It is an arithmetic number, because the mean of its divisors is an integer number (2322180).

Almost surely, 2^150393320 is an apocalyptic number.

150393320 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 150393320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222929280).

150393320 is an abundant number, since it is smaller than the sum of its proper divisors (295465240).

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

150393320 is a wasteful number, since it uses less digits than its factorization.

150393320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 150393320 is about 12263.4954234101. The cubic root of 150393320 is about 531.7932846800.

The spelling of 150393320 in words is "one hundred fifty million, three hundred ninety-three thousand, three hundred twenty".