147333149040 has 480 divisors, whose sum is σ = 593759496960. Its totient is φ = 29866905600.

The previous prime is 147333149021. The next prime is 147333149077. The reversal of 147333149040 is 40941333741.

147333149040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 147333149040.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5289871 + ... + 5317649.

It is an arithmetic number, because the mean of its divisors is an integer number (1236998952).

Almost surely, 2^147333149040 is an apocalyptic number.

147333149040 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 147333149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296879748480).

147333149040 is an abundant number, since it is smaller than the sum of its proper divisors (446426347920).

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

147333149040 is a wasteful number, since it uses less digits than its factorization.

147333149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27861 (or 27848 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 147333149040 in words is "one hundred forty-seven billion, three hundred thirty-three million, one hundred forty-nine thousand, forty".