148153201922880 has 1008 divisors, whose sum is σ = 646809516924480. Its totient is φ = 30778546176000.

The previous prime is 148153201922867. The next prime is 148153201922893. The reversal of 148153201922880 is 88229102351841.

It is a happy number.

148153201922880 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 5 + 320 + 19 + 228 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (148153201922867) and next prime (148153201922893).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11566329916 + ... + 11566342724.

It is an arithmetic number, because the mean of its divisors is an integer number (641676108060).

Almost surely, 2^{148153201922880} is an apocalyptic number.

148153201922880 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 148153201922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323404758462240).

148153201922880 is an abundant number, since it is smaller than the sum of its proper divisors (498656315001600).

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

148153201922880 is a wasteful number, since it uses less digits than its factorization.

148153201922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20308 (or 20288 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 148153201922880 in words is "one hundred forty-eight trillion, one hundred fifty-three billion, two hundred one million, nine hundred twenty-two thousand, eight hundred eighty".