148008564144 has 400 divisors, whose sum is σ = 504745122816. Its totient is φ = 40998182400.

The previous prime is 148008564097. The next prime is 148008564161. The reversal of 148008564144 is 441465800841.

148008564144 is a `hidden beast` number, since 1 + 4 + 80 + 0 + 8 + 564 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 148008564144.

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 79 ways as a sum of consecutive naturals, for example, 39288949 + ... + 39292715.

Almost surely, 2^148008564144 is an apocalyptic number.

148008564144 is a gapful number since it is divisible by the number (14) 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 148008564144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252372561408).

148008564144 is an abundant number, since it is smaller than the sum of its proper divisors (356736558672).

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

148008564144 is a wasteful number, since it uses less digits than its factorization.

148008564144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 148008564144 in words is "one hundred forty-eight billion, eight million, five hundred sixty-four thousand, one hundred forty-four".