150224947135056 has 240 divisors, whose sum is σ = 451053391152000. Its totient is φ = 48345385019904.

The previous prime is 150224947135013. The next prime is 150224947135063. The reversal of 150224947135056 is 650531749422051.

150224947135056 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 2 + 494 + 71 + 35 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 150224947134993 and 150224947135011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2733870270 + ... + 2733925218.

It is an arithmetic number, because the mean of its divisors is an integer number (1879389129800).

Almost surely, 2^{150224947135056} is an apocalyptic number.

150224947135056 is a gapful number since it is divisible by the number (16) 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 150224947135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225526695576000).

150224947135056 is an abundant number, since it is smaller than the sum of its proper divisors (300828444016944).

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

150224947135056 is a wasteful number, since it uses less digits than its factorization.

150224947135056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79248 (or 79230 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 150224947135056 in words is "one hundred fifty trillion, two hundred twenty-four billion, nine hundred forty-seven million, one hundred thirty-five thousand, fifty-six".