148808689920 has 1728 divisors, whose sum is σ = 637687185408. Its totient is φ = 32845824000.

The previous prime is 148808689903. The next prime is 148808689927. The reversal of 148808689920 is 29986808841.

148808689920 is a `hidden beast` number, since 1 + 488 + 0 + 8 + 68 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (148808689927) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2439486690 + ... + 2439486750.

It is an arithmetic number, because the mean of its divisors is an integer number (369031936).

Almost surely, 2^148808689920 is an apocalyptic number.

148808689920 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 148808689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318843592704).

148808689920 is an abundant number, since it is smaller than the sum of its proper divisors (488878495488).

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

148808689920 is a wasteful number, since it uses less digits than its factorization.

148808689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 148808689920 in words is "one hundred forty-eight billion, eight hundred eight million, six hundred eighty-nine thousand, nine hundred twenty".