147937198080 has 1024 divisors, whose sum is σ = 595917619200. Its totient is φ = 30576476160.

The previous prime is 147937198067. The next prime is 147937198103. The reversal of 147937198080 is 80891739741.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×147937198080² (a number of 23 digits) contains 22 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 147937198080.

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, 2026536924 + ... + 2026536996.

It is an arithmetic number, because the mean of its divisors is an integer number (581950800).

Almost surely, 2^147937198080 is an apocalyptic number.

147937198080 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 147937198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297958809600).

147937198080 is an abundant number, since it is smaller than the sum of its proper divisors (447980421120).

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

147937198080 is an equidigital number, since it uses as much as digits as its factorization.

147937198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 147937198080 in words is "one hundred forty-seven billion, nine hundred thirty-seven million, one hundred ninety-eight thousand, eighty".