148351271040 has 768 divisors, whose sum is σ = 614572358400. Its totient is φ = 33721712640.

The previous prime is 148351271023. The next prime is 148351271053. The reversal of 148351271040 is 40172153841.

148351271040 is a `hidden beast` number, since 1 + 483 + 5 + 127 + 10 + 40 = 666.

148351271040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 148351270986 and 148351271004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204059157 + ... + 204059883.

It is an arithmetic number, because the mean of its divisors is an integer number (800224425).

Almost surely, 2^148351271040 is an apocalyptic number.

148351271040 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 148351271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307286179200).

148351271040 is an abundant number, since it is smaller than the sum of its proper divisors (466221087360).

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

148351271040 is a wasteful number, since it uses less digits than its factorization.

148351271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 148351271040 in words is "one hundred forty-eight billion, three hundred fifty-one million, two hundred seventy-one thousand, forty".