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137712354 = 2313331337
BaseRepresentation
bin10000011010101…
…01001011100010
3100121010111211120
420031111023202
5240223243404
621355353110
73261351513
oct1015251342
9317114746
10137712354
117080a36a
123a152796
13226b9000
141440aa0a
15c1539d9
hex83552e2

137712354 has 64 divisors (see below), whose sum is σ = 308904960. Its totient is φ = 40884480.

The previous prime is 137712347. The next prime is 137712373. The reversal of 137712354 is 453217731.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408474 + ... + 408810.

It is an arithmetic number, because the mean of its divisors is an integer number (4826640).

Almost surely, 2137712354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137712354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154452480).

137712354 is an abundant number, since it is smaller than the sum of its proper divisors (171192606).

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

137712354 is a wasteful number, since it uses less digits than its factorization.

137712354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 386 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 137712354 is about 11735.0907111961. The cubic root of 137712354 is about 516.4056287102.

It can be divided in two parts, 1377 and 12354, that added together give a palindrome (13731).

The spelling of 137712354 in words is "one hundred thirty-seven million, seven hundred twelve thousand, three hundred fifty-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 337 338 403 507 674 806 1011 1014 1209 2022 2197 2418 4381 4394 5239 6591 8762 10447 10478 13143 13182 15717 20894 26286 31341 31434 56953 62682 68107 113906 135811 136214 170859 204321 271622 341718 407433 408642 740389 814866 1480778 1765543 2221167 3531086 4442334 5296629 10593258 22952059 45904118 68856177 137712354