150478560 has 240 divisors, whose sum is σ = 563126256. Its totient is φ = 37711872.

The previous prime is 150478553. The next prime is 150478561. The reversal of 150478560 is 65874051.

150478560 is a `hidden beast` number, since 1 + 50 + 47 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (150478561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219979 + ... + 220661.

Almost surely, 2^150478560 is an apocalyptic number.

150478560 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 150478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281563128).

150478560 is an abundant number, since it is smaller than the sum of its proper divisors (412647696).

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

150478560 is a wasteful number, since it uses less digits than its factorization.

150478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 150478560 is about 12266.9702860975. The cubic root of 150478560 is about 531.8937357244.

The spelling of 150478560 in words is "one hundred fifty million, four hundred seventy-eight thousand, five hundred sixty".