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137743104 = 28343297
BaseRepresentation
bin10000011010111…
…00101100000000
3100121012002000110
420031130230000
5240230234404
621400151320
73261540252
oct1015345400
9317162013
10137743104
1170830484
123a168540
13226c9cc5
1414417cd2
15c15cb89
hex835cb00

137743104 has 108 divisors (see below), whose sum is σ = 379190616. Its totient is φ = 44384256.

The previous prime is 137743091. The next prime is 137743153. The reversal of 137743104 is 401347731.

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, 1419984 + ... + 1420080.

Almost surely, 2137743104 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 137743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189595308).

137743104 is an abundant number, since it is smaller than the sum of its proper divisors (241447512).

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

137743104 is an frugal number, since it uses more digits than its factorization.

137743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 137743104 is about 11736.4008111516. The cubic root of 137743104 is about 516.4440621813. Note that the first 3 decimals are identical.

The spelling of 137743104 in words is "one hundred thirty-seven million, seven hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 97 128 129 172 192 194 256 258 291 344 384 388 516 582 688 768 776 1032 1164 1376 1552 1849 2064 2328 2752 3104 3698 4128 4171 4656 5504 5547 6208 7396 8256 8342 9312 11008 11094 12416 12513 14792 16512 16684 18624 22188 24832 25026 29584 33024 33368 37248 44376 50052 59168 66736 74496 88752 100104 118336 133472 177504 179353 200208 236672 266944 355008 358706 400416 473344 533888 538059 710016 717412 800832 1067776 1076118 1420032 1434824 1601664 2152236 2869648 3203328 4304472 5739296 8608944 11478592 17217888 22957184 34435776 45914368 68871552 137743104