148345505280 has 480 divisors, whose sum is σ = 606117777408. Its totient is φ = 32812646400.

The previous prime is 148345505251. The next prime is 148345505293. The reversal of 148345505280 is 82505543841.

148345505280 is a `hidden beast` number, since 1 + 4 + 83 + 45 + 5 + 0 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4984845 + ... + 5014515.

Almost surely, 2^148345505280 is an apocalyptic number.

148345505280 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 148345505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303058888704).

148345505280 is an abundant number, since it is smaller than the sum of its proper divisors (457772272128).

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

148345505280 is a wasteful number, since it uses less digits than its factorization.

148345505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29738 (or 29719 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 148345505280 in words is "one hundred forty-eight billion, three hundred forty-five million, five hundred five thousand, two hundred eighty".