147506906007120 has 640 divisors, whose sum is σ = 527136941076480. Its totient is φ = 33770898472960.

The previous prime is 147506906007091. The next prime is 147506906007121. The reversal of 147506906007120 is 21700609605741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 147506906007120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147506906007121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8733895636 + ... + 8733912524.

It is an arithmetic number, because the mean of its divisors is an integer number (823651470432).

Almost surely, 2^{147506906007120} is an apocalyptic number.

147506906007120 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 147506906007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263568470538240).

147506906007120 is an abundant number, since it is smaller than the sum of its proper divisors (379630035069360).

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

147506906007120 is a wasteful number, since it uses less digits than its factorization.

147506906007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18755 (or 18749 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 147506906007120 in words is "one hundred forty-seven trillion, five hundred six billion, nine hundred six million, seven thousand, one hundred twenty".