147149903646720 has 3328 divisors, whose sum is σ = 615289677004800. Its totient is φ = 33466335363072.

The previous prime is 147149903646643. The next prime is 147149903646721. The reversal of 147149903646720 is 27646309941741.

147149903646720 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 499 + 0 + 3 + 64 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147149903646721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 519964323699 + ... + 519964323981.

Almost surely, 2^{147149903646720} is an apocalyptic number.

147149903646720 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 147149903646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307644838502400).

147149903646720 is an abundant number, since it is smaller than the sum of its proper divisors (468139773358080).

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

147149903646720 is an equidigital number, since it uses as much as digits as its factorization.

147149903646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 147149903646720 in words is "one hundred forty-seven trillion, one hundred forty-nine billion, nine hundred three million, six hundred forty-six thousand, seven hundred twenty".