148072382640 has 960 divisors, whose sum is σ = 666857318400. Its totient is φ = 29876926464.

The previous prime is 148072382609. The next prime is 148072382651. The reversal of 148072382640 is 46283270841.

It is a happy number.

148072382640 is a `hidden beast` number, since 148 + 0 + 72 + 382 + 64 + 0 = 666.

148072382640 is digitally balanced in base 3, 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31643821 + ... + 31648499.

It is an arithmetic number, because the mean of its divisors is an integer number (694643040).

Almost surely, 2^148072382640 is an apocalyptic number.

148072382640 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 148072382640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333428659200).

148072382640 is an abundant number, since it is smaller than the sum of its proper divisors (518784935760).

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

148072382640 is a wasteful number, since it uses less digits than its factorization.

148072382640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 148072382640 in words is "one hundred forty-eight billion, seventy-two million, three hundred eighty-two thousand, six hundred forty".