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148195903128 = 2337132310328643
BaseRepresentation
bin1000101000000100101…
…0100000011010011000
3112011112000201220012220
42022001022200122120
54412001122400003
6152025200304040
713464301251420
oct2120112403230
9464460656186
10148195903128
11579387a64a9
122487a612020
1310c89886710
14725bd2d480
153cc5517353
hex22812a0698

148195903128 has 256 divisors, whose sum is σ = 480449249280. Its totient is φ = 37021045248.

The previous prime is 148195903109. The next prime is 148195903129. The reversal of 148195903128 is 821309591841.

148195903128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148195903129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5159575 + ... + 5188217.

It is an arithmetic number, because the mean of its divisors is an integer number (1876754880).

Almost surely, 2148195903128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148195903128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240224624640).

148195903128 is an abundant number, since it is smaller than the sum of its proper divisors (332253346152).

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

148195903128 is a wasteful number, since it uses less digits than its factorization.

148195903128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28798 (or 28794 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 148195903128 in words is "one hundred forty-eight billion, one hundred ninety-five million, nine hundred three thousand, one hundred twenty-eight".