148974628320 has 1152 divisors, whose sum is σ = 622452999168. Its totient is φ = 31739904000.

The previous prime is 148974628303. The next prime is 148974628333. The reversal of 148974628320 is 23826479841.

148974628320 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 7 + 4 + 628 + 3 + 2 + 0 = 666.

148974628320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1474996270 + ... + 1474996370.

It is an arithmetic number, because the mean of its divisors is an integer number (540323784).

Almost surely, 2^148974628320 is an apocalyptic number.

148974628320 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 148974628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311226499584).

148974628320 is an abundant number, since it is smaller than the sum of its proper divisors (473478370848).

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

148974628320 is a wasteful number, since it uses less digits than its factorization.

148974628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 148974628320 in words is "one hundred forty-eight billion, nine hundred seventy-four million, six hundred twenty-eight thousand, three hundred twenty".