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136937976 = 23373672221
BaseRepresentation
bin10000010100110…
…00000111111000
3100112200011120220
420022120013320
5240024003401
621331020040
73251645040
oct1012300770
9315604526
10136937976
117033058a
1239a3a620
13224a76b6
1414288720
15c04e336
hex82981f8

136937976 has 64 divisors (see below), whose sum is σ = 392494080. Its totient is φ = 39000960.

The previous prime is 136937951. The next prime is 136938001. The reversal of 136937976 is 679739631.

It is an interprime number because it is at equal distance from previous prime (136937951) and next prime (136938001).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60546 + ... + 62766.

It is an arithmetic number, because the mean of its divisors is an integer number (6132720).

Almost surely, 2136937976 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 136937976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196247040).

136937976 is an abundant number, since it is smaller than the sum of its proper divisors (255556104).

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

136937976 is a wasteful number, since it uses less digits than its factorization.

136937976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2600 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 51.

The square root of 136937976 is about 11702.0500768028. The cubic root of 136937976 is about 515.4358656485.

The spelling of 136937976 in words is "one hundred thirty-six million, nine hundred thirty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 367 734 1101 1468 2202 2221 2569 2936 4404 4442 5138 6663 7707 8808 8884 10276 13326 15414 15547 17768 20552 26652 30828 31094 46641 53304 61656 62188 93282 124376 186564 373128 815107 1630214 2445321 3260428 4890642 5705749 6520856 9781284 11411498 17117247 19562568 22822996 34234494 45645992 68468988 136937976