148832312003760 has 640 divisors, whose sum is σ = 600461727989760. Its totient is φ = 29570507366400.

The previous prime is 148832312003743. The next prime is 148832312003789. The reversal of 148832312003760 is 67300213238841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1159870005 + ... + 1159998315.

It is an arithmetic number, because the mean of its divisors is an integer number (938221449984).

Almost surely, 2^{148832312003760} is an apocalyptic number.

148832312003760 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 148832312003760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300230863994880).

148832312003760 is an abundant number, since it is smaller than the sum of its proper divisors (451629415986000).

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

148832312003760 is a wasteful number, since it uses less digits than its factorization.

148832312003760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131097 (or 131091 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 148832312003760 in words is "one hundred forty-eight trillion, eight hundred thirty-two billion, three hundred twelve million, three thousand, seven hundred sixty".