148971073680 has 480 divisors, whose sum is σ = 588946804992. Its totient is φ = 33268838400.

The previous prime is 148971073607. The next prime is 148971073709. The reversal of 148971073680 is 86370179841.

148971073680 is a `hidden beast` number, since 1 + 489 + 7 + 10 + 73 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64966614 + ... + 64968906.

Almost surely, 2^148971073680 is an apocalyptic number.

148971073680 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 148971073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294473402496).

148971073680 is an abundant number, since it is smaller than the sum of its proper divisors (439975731312).

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

148971073680 is a wasteful number, since it uses less digits than its factorization.

148971073680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 148971073680 in words is "one hundred forty-eight billion, nine hundred seventy-one million, seventy-three thousand, six hundred eighty".