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137052776 = 23717197577
BaseRepresentation
bin10000010101101…
…00001001101000
3100112220000001202
420022310021220
5240041142101
621333303332
73252633530
oct1012641150
9315800052
10137052776
11703a9863
1239a94b48
1322517a23
14142b84c0
15c07336b
hex82b4268

137052776 has 64 divisors (see below), whose sum is σ = 327369600. Its totient is φ = 52365312.

The previous prime is 137052763. The next prime is 137052803. The reversal of 137052776 is 677250731.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 14300 + ... + 21876.

It is an arithmetic number, because the mean of its divisors is an integer number (5115150).

Almost surely, 2137052776 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 137052776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163684800).

137052776 is an abundant number, since it is smaller than the sum of its proper divisors (190316824).

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

137052776 is a wasteful number, since it uses less digits than its factorization.

137052776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 38.

The square root of 137052776 is about 11706.9541726275. The cubic root of 137052776 is about 515.5798615203.

The spelling of 137052776 in words is "one hundred thirty-seven million, fifty-two thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 2261 2584 4522 7577 9044 15154 18088 30308 53039 60616 106078 128809 143963 212156 257618 287926 424312 515236 575852 901663 1007741 1030472 1151704 1803326 2015482 2447371 3606652 4030964 4894742 7213304 8061928 9789484 17131597 19578968 34263194 68526388 137052776