147552683794560 has 768 divisors, whose sum is σ = 559422094533120. Its totient is φ = 35540044185600.

The previous prime is 147552683794553. The next prime is 147552683794577. The reversal of 147552683794560 is 65497386255741.

147552683794560 is a `hidden beast` number, since 1 + 4 + 7 + 5 + 5 + 26 + 8 + 37 + 9 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 13910872777 + ... + 13910883383.

It is an arithmetic number, because the mean of its divisors is an integer number (728414185590).

It is a 1-persistent number, because it is pandigital, but 2⋅147552683794560 = 295105367589120 is not.

Almost surely, 2^{147552683794560} is an apocalyptic number.

147552683794560 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 147552683794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279711047266560).

147552683794560 is an abundant number, since it is smaller than the sum of its proper divisors (411869410738560).

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

147552683794560 is a wasteful number, since it uses less digits than its factorization.

147552683794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12037 (or 12022 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 147552683794560 in words is "one hundred forty-seven trillion, five hundred fifty-two billion, six hundred eighty-three million, seven hundred ninety-four thousand, five hundred sixty".