150648480 has 144 divisors (see below), whose sum is σ = 517444200. Its totient is φ = 39911424.

The previous prime is 150648427. The next prime is 150648481. The reversal of 150648480 is 84846051.

150648480 is a `hidden beast` number, since 1 + 5 + 0 + 648 + 4 + 8 + 0 = 666.

150648480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 107246736 + 43401744 = 10356^2 + 6588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (150648481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335296 + ... + 335744.

Almost surely, 2^150648480 is an apocalyptic number.

150648480 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 150648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258722100).

150648480 is an abundant number, since it is smaller than the sum of its proper divisors (366795720).

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

150648480 is a wasteful number, since it uses less digits than its factorization.

150648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 150648480 is about 12273.8942475483. The cubic root of 150648480 is about 532.0938647576.

The spelling of 150648480 in words is "one hundred fifty million, six hundred forty-eight thousand, four hundred eighty".