148305812152320 has 672 divisors, whose sum is σ = 521656136906112. Its totient is φ = 38967680434176.

The previous prime is 148305812152189. The next prime is 148305812152327. The reversal of 148305812152320 is 23251218503841.

148305812152320 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 0 + 5 + 81 + 21 + 523 + 20 = 666.

It is a super-2 number, since 2×148305812152320² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148305812152327) 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 47 ways as a sum of consecutive naturals, for example, 35710523364 + ... + 35710527516.

Almost surely, 2^{148305812152320} is an apocalyptic number.

148305812152320 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 148305812152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260828068453056).

148305812152320 is an abundant number, since it is smaller than the sum of its proper divisors (373350324753792).

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

148305812152320 is a wasteful number, since it uses less digits than its factorization.

148305812152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 148305812152320 in words is "one hundred forty-eight trillion, three hundred five billion, eight hundred twelve million, one hundred fifty-two thousand, three hundred twenty".