148505842920960 has 3200 divisors, whose sum is σ = 685326064896000. Its totient is φ = 29917553098752.

The previous prime is 148505842920949. The next prime is 148505842920961. The reversal of 148505842920960 is 69029248505841.

148505842920960 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 0 + 584 + 29 + 20 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148505842920961) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 41726843661 + ... + 41726847219.

It is an arithmetic number, because the mean of its divisors is an integer number (214164395280).

Almost surely, 2^{148505842920960} is an apocalyptic number.

148505842920960 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 148505842920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342663032448000).

148505842920960 is an abundant number, since it is smaller than the sum of its proper divisors (536820221975040).

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

148505842920960 is a wasteful number, since it uses less digits than its factorization.

148505842920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 148505842920960 in words is "one hundred forty-eight trillion, five hundred five billion, eight hundred forty-two million, nine hundred twenty thousand, nine hundred sixty".