148376325934080 has 2112 divisors, whose sum is σ = 575584842792960. Its totient is φ = 36218791526400.

The previous prime is 148376325934079. The next prime is 148376325934091. The reversal of 148376325934080 is 80439523673841.

It is a happy number.

148376325934080 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 7 + 6 + 32 + 593 + 4 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148376325933999 and 148376325934017.

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 191 ways as a sum of consecutive naturals, for example, 259853460195 + ... + 259853460765.

It is an arithmetic number, because the mean of its divisors is an integer number (272530702080).

It is a 1-persistent number, because it is pandigital, but 2⋅148376325934080 = 296752651868160 is not.

Almost surely, 2^{148376325934080} is an apocalyptic number.

148376325934080 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 148376325934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287792421396480).

148376325934080 is an abundant number, since it is smaller than the sum of its proper divisors (427208516858880).

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

148376325934080 is a wasteful number, since it uses less digits than its factorization.

148376325934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 148376325934080 in words is "one hundred forty-eight trillion, three hundred seventy-six billion, three hundred twenty-five million, nine hundred thirty-four thousand, eighty".