147806772960 has 768 divisors, whose sum is σ = 616954060800. Its totient is φ = 28814745600.

The previous prime is 147806772937. The next prime is 147806772983. The reversal of 147806772960 is 69277608741.

147806772960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147806772937) and next prime (147806772983).

It is a super-3 number, since 3×147806772960³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 147806772960.

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 127 ways as a sum of consecutive naturals, for example, 76543195 + ... + 76545125.

It is an arithmetic number, because the mean of its divisors is an integer number (803325600).

Almost surely, 2^147806772960 is an apocalyptic number.

147806772960 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 147806772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308477030400).

147806772960 is an abundant number, since it is smaller than the sum of its proper divisors (469147287840).

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

147806772960 is a wasteful number, since it uses less digits than its factorization.

147806772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 147806772960 in words is "one hundred forty-seven billion, eight hundred six million, seven hundred seventy-two thousand, nine hundred sixty".