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137449656 = 23332373379
BaseRepresentation
bin10000011000101…
…01000010111000
3100120122011111000
420030111002320
5240141342111
621350005000
73256205601
oct1014250270
9316564430
10137449656
117064aa63
123a046760
1322626576
141437cda8
15c100c56
hex83150b8

137449656 has 128 divisors (see below), whose sum is σ = 404928000. Its totient is φ = 43110144.

The previous prime is 137449643. The next prime is 137449661. The reversal of 137449656 is 656944731.

Its product of digits (544320) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

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, 362475 + ... + 362853.

It is an arithmetic number, because the mean of its divisors is an integer number (3163500).

Almost surely, 2137449656 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 137449656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202464000).

137449656 is an abundant number, since it is smaller than the sum of its proper divisors (267478344).

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

137449656 is a wasteful number, since it uses less digits than its factorization.

137449656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 137449656 is about 11723.8925276548. The cubic root of 137449656 is about 516.0770571778.

The spelling of 137449656 in words is "one hundred thirty-seven million, four hundred forty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 73 92 108 138 146 184 207 216 219 276 292 379 414 438 552 584 621 657 758 828 876 1137 1242 1314 1516 1656 1679 1752 1971 2274 2484 2628 3032 3358 3411 3942 4548 4968 5037 5256 6716 6822 7884 8717 9096 10074 10233 13432 13644 15111 15768 17434 20148 20466 26151 27288 27667 30222 34868 40296 40932 45333 52302 55334 60444 69736 78453 81864 83001 90666 104604 110668 120888 156906 166002 181332 209208 221336 235359 249003 313812 332004 362664 470718 498006 627624 636341 664008 747009 941436 996012 1272682 1494018 1882872 1909023 1992024 2545364 2988036 3818046 5090728 5727069 5976072 7636092 11454138 15272184 17181207 22908276 34362414 45816552 68724828 137449656