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148275448128 = 2634173721229
BaseRepresentation
bin1000101000010111100…
…1111100100101000000
3112011201120102012110000
42022011321330211000
54412132003320003
6152041121240000
713466255341143
oct2120571744500
9464646365400
10148275448128
1157979696875
12248a1193000
1310ca01b7972
14726871805a
153ccc4cb1a3
hex2285e7c940

148275448128 has 420 divisors, whose sum is σ = 478697109660. Its totient is φ = 45223723008.

The previous prime is 148275448073. The next prime is 148275448147. The reversal of 148275448128 is 821844572841.

148275448128 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 75 + 448 + 128 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 96477329664 + 51798118464 = 310608^2 + 227592^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 120646618 + ... + 120647846.

It is an arithmetic number, because the mean of its divisors is an integer number (1139755023).

Almost surely, 2148275448128 is an apocalyptic number.

148275448128 is a gapful number since it is divisible by the number (18) 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 148275448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239348554830).

148275448128 is an abundant number, since it is smaller than the sum of its proper divisors (330421661532).

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

148275448128 is a wasteful number, since it uses less digits than its factorization.

148275448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1288 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 54.

The spelling of 148275448128 in words is "one hundred forty-eight billion, two hundred seventy-five million, four hundred forty-eight thousand, one hundred twenty-eight".