147906565373952 has 1152 divisors, whose sum is σ = 564034428518400. Its totient is φ = 37175898931200.

The previous prime is 147906565373863. The next prime is 147906565373971. The reversal of 147906565373952 is 259373565609741.

It is a happy number.

147906565373952 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 0 + 6 + 5 + 6 + 537 + 39 + 52 = 666.

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 (72).

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 63 ways as a sum of consecutive naturals, for example, 8447450574 + ... + 8447468082.

It is an arithmetic number, because the mean of its divisors is an integer number (489613219200).

Almost surely, 2^{147906565373952} is an apocalyptic number.

147906565373952 is a gapful number since it is divisible by the number (12) 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 147906565373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282017214259200).

147906565373952 is an abundant number, since it is smaller than the sum of its proper divisors (416127863144448).

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

147906565373952 is an equidigital number, since it uses as much as digits as its factorization.

147906565373952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17601 (or 17563 counting only the distinct ones).

The product of its (nonzero) digits is 1285956000, while the sum is 72.

The spelling of 147906565373952 in words is "one hundred forty-seven trillion, nine hundred six billion, five hundred sixty-five million, three hundred seventy-three thousand, nine hundred fifty-two".