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137141488 = 24114759281
BaseRepresentation
bin10000010110010…
…01110011110000
3100120001111202101
420023021303300
5240102011423
621335230144
73253453261
oct1013116360
9316044671
10137141488
117045a480
1239b18354
1322549213
14142dc968
15c08e7ad
hex82c9cf0

137141488 has 80 divisors (see below), whose sum is σ = 302123520. Its totient is φ = 59763200.

The previous prime is 137141471. The next prime is 137141519. The reversal of 137141488 is 884141731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487908 + ... + 488188.

It is an arithmetic number, because the mean of its divisors is an integer number (3776544).

Almost surely, 2137141488 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 137141488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).

137141488 is an abundant number, since it is smaller than the sum of its proper divisors (164982032).

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

137141488 is a wasteful number, since it uses less digits than its factorization.

137141488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 137141488 is about 11710.7424188221. The cubic root of 137141488 is about 515.6910796390.

The spelling of 137141488 in words is "one hundred thirty-seven million, one hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 47 59 88 94 118 176 188 236 281 376 472 517 562 649 752 944 1034 1124 1298 2068 2248 2596 2773 3091 4136 4496 5192 5546 6182 8272 10384 11092 12364 13207 16579 22184 24728 26414 30503 33158 44368 49456 52828 61006 66316 105656 122012 132632 145277 182369 211312 244024 265264 290554 364738 488048 581108 729476 779213 1162216 1458952 1558426 2324432 2917904 3116852 6233704 8571343 12467408 17142686 34285372 68570744 137141488