148832217040 has 160 divisors (see below), whose sum is σ = 375896941056. Its totient is φ = 54477312000.

The previous prime is 148832217013. The next prime is 148832217073. The reversal of 148832217040 is 40712238841.

148832217040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 148832216984 and 148832217002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60821097 + ... + 60823543.

Almost surely, 2^148832217040 is an apocalyptic number.

148832217040 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 148832217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187948470528).

148832217040 is an abundant number, since it is smaller than the sum of its proper divisors (227064724016).

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

148832217040 is a wasteful number, since it uses less digits than its factorization.

148832217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 148832217040 in words is "one hundred forty-eight billion, eight hundred thirty-two million, two hundred seventeen thousand, forty".