147138840576 has 1152 divisors, whose sum is σ = 573153235200. Its totient is φ = 36763435008.

The previous prime is 147138840559. The next prime is 147138840593. The reversal of 147138840576 is 675048831741.

147138840576 is a `hidden beast` number, since 1 + 471 + 3 + 88 + 40 + 57 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (147138840559) and next prime (147138840593).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7744149495 + ... + 7744149513.

It is an arithmetic number, because the mean of its divisors is an integer number (497528850).

Almost surely, 2^147138840576 is an apocalyptic number.

147138840576 is a gapful number since it is divisible by the number (16) 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 147138840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286576617600).

147138840576 is an abundant number, since it is smaller than the sum of its proper divisors (426014394624).

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

147138840576 is an frugal number, since it uses more digits than its factorization.

147138840576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 147138840576 in words is "one hundred forty-seven billion, one hundred thirty-eight million, eight hundred forty thousand, five hundred seventy-six".