147508029504 has 1176 divisors, whose sum is σ = 538347925080. Its totient is φ = 39852933120.

The previous prime is 147508029491. The next prime is 147508029517. The reversal of 147508029504 is 405920805741.

147508029504 is a `hidden beast` number, since 1 + 47 + 5 + 0 + 80 + 29 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (147508029491) and next prime (147508029517).

It can be written as a sum of positive squares in 4 ways, for example, as 56453760000 + 91054269504 = 237600^2 + 301752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 147508029504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2783170342 + ... + 2783170394.

Almost surely, 2^147508029504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147508029504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269173962540).

147508029504 is an abundant number, since it is smaller than the sum of its proper divisors (390839895576).

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

147508029504 is a wasteful number, since it uses less digits than its factorization.

147508029504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 147508029504 in words is "one hundred forty-seven billion, five hundred eight million, twenty-nine thousand, five hundred four".