148516208640 has 960 divisors, whose sum is σ = 580075974720. Its totient is φ = 36309565440.

The previous prime is 148516208623. The next prime is 148516208653. The reversal of 148516208640 is 46802615841.

It is a happy number.

148516208640 is a `hidden beast` number, since 1 + 485 + 162 + 0 + 8 + 6 + 4 + 0 = 666.

148516208640 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4790845425 + ... + 4790845455.

It is an arithmetic number, because the mean of its divisors is an integer number (604245807).

Almost surely, 2^148516208640 is an apocalyptic number.

148516208640 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 148516208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290037987360).

148516208640 is an abundant number, since it is smaller than the sum of its proper divisors (431559766080).

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

148516208640 is an frugal number, since it uses more digits than its factorization.

148516208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 148516208640 in words is "one hundred forty-eight billion, five hundred sixteen million, two hundred eight thousand, six hundred forty".