147164008320 has 384 divisors, whose sum is σ = 582801186240. Its totient is φ = 33519992832.

The previous prime is 147164008309. The next prime is 147164008361. The reversal of 147164008320 is 23800461741.

147164008320 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 640 + 0 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11807532 + ... + 11819988.

Almost surely, 2^147164008320 is an apocalyptic number.

147164008320 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 147164008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291400593120).

147164008320 is an abundant number, since it is smaller than the sum of its proper divisors (435637177920).

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

147164008320 is a wasteful number, since it uses less digits than its factorization.

147164008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 147164008320 in words is "one hundred forty-seven billion, one hundred sixty-four million, eight thousand, three hundred twenty".