150363648 has 160 divisors (see below), whose sum is σ = 454212000. Its totient is φ = 49102848.

The previous prime is 150363641. The next prime is 150363659. The reversal of 150363648 is 846363051.

150363648 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 6 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150363641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009078 + ... + 1009226.

It is an arithmetic number, because the mean of its divisors is an integer number (2838825).

Almost surely, 2^150363648 is an apocalyptic number.

150363648 is a gapful number since it is divisible by the number (18) 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 150363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227106000).

150363648 is an abundant number, since it is smaller than the sum of its proper divisors (303848352).

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

150363648 is an equidigital number, since it uses as much as digits as its factorization.

150363648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 150363648 is about 12262.2855944559. The cubic root of 150363648 is about 531.7583088176.

The spelling of 150363648 in words is "one hundred fifty million, three hundred sixty-three thousand, six hundred forty-eight".