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148756134132 = 223231641207947
BaseRepresentation
bin1000101010001010001…
…1100111100011110100
3112012222001220120200100
42022202203213203310
54414123032243012
6152200532114100
713514213164104
oct2124243474364
9465861816610
10148756134132
11580a5a61331
12249b6165930
1311048969958
1472b24c3204
153d097cb8dc
hex22a28e78f4

148756134132 has 72 divisors (see below), whose sum is σ = 388759617792. Its totient is φ = 47910758400.

The previous prime is 148756134091. The next prime is 148756134169. The reversal of 148756134132 is 231431657841.

148756134132 is a `hidden beast` number, since 1 + 4 + 87 + 561 + 3 + 4 + 1 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611383 + ... + 819329.

It is an arithmetic number, because the mean of its divisors is an integer number (5399439136).

Almost surely, 2148756134132 is an apocalyptic number.

148756134132 is a gapful number since it is divisible by the number (12) 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 148756134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194379808896).

148756134132 is an abundant number, since it is smaller than the sum of its proper divisors (240003483660).

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

148756134132 is a wasteful number, since it uses less digits than its factorization.

148756134132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208629 (or 208624 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 148756134132 in words is "one hundred forty-eight billion, seven hundred fifty-six million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 641 1116 1282 1923 2564 3846 5769 7692 11538 19871 23076 39742 59613 79484 119226 178839 207947 238452 357678 415894 623841 715356 831788 1247682 1871523 2495364 3743046 6446357 7486092 12892714 19339071 25785428 38678142 58017213 77356284 116034426 133294027 232068852 266588054 399882081 533176108 799764162 1199646243 1599528324 2399292486 4132114837 4798584972 8264229674 12396344511 16528459348 24792689022 37189033533 49585378044 74378067066 148756134132