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137000784 = 2434915813
BaseRepresentation
bin10000010101001…
…11011101010000
3100112210100202010
420022213131100
5240033011114
621332222520
73252326124
oct1012473520
9315710663
10137000784
1170373798
1239a6aa40
13224ca16b
14142a3584
15c062c59
hex82a7750

137000784 has 40 divisors (see below), whose sum is σ = 354700512. Its totient is φ = 45566080.

The previous prime is 137000783. The next prime is 137000791. The reversal of 137000784 is 487000731.

It is a happy number.

It is a super-2 number, since 2×1370007842 = 37538429633229312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137000783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20662 + ... + 26474.

Almost surely, 2137000784 is an apocalyptic number.

It is an amenable number.

137000784 is an abundant number, since it is smaller than the sum of its proper divisors (217699728).

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

137000784 is a wasteful number, since it uses less digits than its factorization.

137000784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 137000784 is about 11704.7334014919. The cubic root of 137000784 is about 515.5146569100.

The spelling of 137000784 in words is "one hundred thirty-seven million, seven hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 491 982 1473 1964 2946 3928 5813 5892 7856 11626 11784 17439 23252 23568 34878 46504 69756 93008 139512 279024 2854183 5708366 8562549 11416732 17125098 22833464 34250196 45666928 68500392 137000784