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137425408 = 291391931
BaseRepresentation
bin10000011000011…
…11001000000000
3100120120221012221
420030033020000
5240140103113
621345300424
73256045111
oct1014171000
9316527187
10137425408
117063381a
123a034714
1322618513
1414374208
15c0e898d
hex830f200

137425408 has 40 divisors (see below), whose sum is σ = 276701040. Its totient is φ = 68183040.

The previous prime is 137425373. The next prime is 137425411. The reversal of 137425408 is 804524731.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70203 + ... + 72133.

It is an arithmetic number, because the mean of its divisors is an integer number (6917526).

Almost surely, 2137425408 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 137425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138350520).

137425408 is an abundant number, since it is smaller than the sum of its proper divisors (139275632).

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

137425408 is an equidigital number, since it uses as much as digits as its factorization.

137425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 137425408 is about 11722.8583545141. The cubic root of 137425408 is about 516.0467077083.

The spelling of 137425408 in words is "one hundred thirty-seven million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1112 1931 2224 3862 4448 7724 8896 15448 17792 30896 35584 61792 71168 123584 247168 268409 494336 536818 988672 1073636 2147272 4294544 8589088 17178176 34356352 68712704 137425408