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137844744544 = 25132167152629
BaseRepresentation
bin1000000001100000101…
…1111110000101100000
3111011210122012120002001
42000120023332011200
54224301223311134
6143154111133344
712646630665463
oct2003013760540
9434718176061
10137844744544
1153506845891
122286bb14254
13ccca1c8900
1469592bb2da
1538bb8e2414
hex20182fe160

137844744544 has 72 divisors (see below), whose sum is σ = 295624773360. Its totient is φ = 63239275008.

The previous prime is 137844744533. The next prime is 137844744559. The reversal of 137844744544 is 445447448731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826822 + ... + 979450.

It is an arithmetic number, because the mean of its divisors is an integer number (4105899630).

Almost surely, 2137844744544 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 137844744544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147812386680).

137844744544 is an abundant number, since it is smaller than the sum of its proper divisors (157780028816).

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

137844744544 is a wasteful number, since it uses less digits than its factorization.

137844744544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152832 (or 152811 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 55.

The spelling of 137844744544 in words is "one hundred thirty-seven billion, eight hundred forty-four million, seven hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 167 169 208 334 338 416 668 676 1336 1352 2171 2672 2704 4342 5344 5408 8684 17368 28223 34736 56446 69472 112892 152629 225784 305258 451568 610516 903136 1221032 1984177 2442064 3968354 4884128 7936708 15873416 25489043 25794301 31746832 50978086 51588602 63493664 101956172 103177204 203912344 206354408 331357559 407824688 412708816 662715118 815649376 825417632 1325430236 2650860472 4307648267 5301720944 8615296534 10603441888 17230593068 34461186136 68922372272 137844744544