147920967936 has 864 divisors, whose sum is σ = 562705678080. Its totient is φ = 38013566976.

The previous prime is 147920967911. The next prime is 147920967941. The reversal of 147920967936 is 639769029741.

147920967936 is a `hidden beast` number, since 1 + 479 + 2 + 0 + 96 + 79 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×147920967936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 132426450 + ... + 132427566.

It is an arithmetic number, because the mean of its divisors is an integer number (651279720).

Almost surely, 2^147920967936 is an apocalyptic number.

147920967936 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 147920967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281352839040).

147920967936 is an abundant number, since it is smaller than the sum of its proper divisors (414784710144).

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

147920967936 is a wasteful number, since it uses less digits than its factorization.

147920967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 147920967936 in words is "one hundred forty-seven billion, nine hundred twenty million, nine hundred sixty-seven thousand, nine hundred thirty-six".