148521116528928 has 768 divisors, whose sum is σ = 513500862873600. Its totient is φ = 41171041013760.

The previous prime is 148521116528903. The next prime is 148521116528959. The reversal of 148521116528928 is 829825611125841.

It is a happy number.

148521116528928 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 2 + 1 + 1 + 16 + 528 + 92 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15424350418 + ... + 15424360046.

It is an arithmetic number, because the mean of its divisors is an integer number (668620915200).

Almost surely, 2^{148521116528928} is an apocalyptic number.

148521116528928 is a gapful number since it is divisible by the number (18) 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 148521116528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256750431436800).

148521116528928 is an abundant number, since it is smaller than the sum of its proper divisors (364979746344672).

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

148521116528928 is a wasteful number, since it uses less digits than its factorization.

148521116528928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10768 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 63.

The spelling of 148521116528928 in words is "one hundred forty-eight trillion, five hundred twenty-one billion, one hundred sixteen million, five hundred twenty-eight thousand, nine hundred twenty-eight".