147002063207040 has 2048 divisors, whose sum is σ = 562861903104000. Its totient is φ = 36175368683520.

The previous prime is 147002063207039. The next prime is 147002063207053. The reversal of 147002063207040 is 40702360200741.

147002063207040 is a `hidden beast` number, since 1 + 470 + 0 + 2 + 0 + 63 + 20 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147002063206986 and 147002063207004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 416436439504 + ... + 416436439856.

It is an arithmetic number, because the mean of its divisors is an integer number (274834913625).

Almost surely, 2^{147002063207040} is an apocalyptic number.

147002063207040 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 147002063207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281430951552000).

147002063207040 is an abundant number, since it is smaller than the sum of its proper divisors (415859839896960).

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

147002063207040 is a wasteful number, since it uses less digits than its factorization.

147002063207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 147002063207040 in words is "one hundred forty-seven trillion, two billion, sixty-three million, two hundred seven thousand, forty".