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137934608 = 2472175937
BaseRepresentation
bin10000011100010…
…11011100010000
3100121112210201012
420032023130100
5240302401413
621404230052
73263265500
oct1016133420
9317483635
10137934608
1170951349
123a23b328
1322766216
1414467a00
15c1997a8
hex838b710

137934608 has 30 divisors (see below), whose sum is σ = 310882446. Its totient is φ = 59114496.

The previous prime is 137934607. The next prime is 137934647. The reversal of 137934608 is 806439731.

It can be written as a sum of positive squares in only one way, i.e., 72454144 + 65480464 = 8512^2 + 8092^2 .

It is a super-2 number, since 2×1379346082 = 38051912168227328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137934607) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 87185 + ... + 88752.

Almost surely, 2137934608 is an apocalyptic number.

It is an amenable number.

137934608 is an abundant number, since it is smaller than the sum of its proper divisors (172947838).

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

137934608 is a wasteful number, since it uses less digits than its factorization.

137934608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175959 (or 175946 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 137934608 is about 11744.5565263232. The cubic root of 137934608 is about 516.6832884466.

The spelling of 137934608 in words is "one hundred thirty-seven million, nine hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 175937 351874 703748 1231559 1407496 2463118 2814992 4926236 8620913 9852472 17241826 19704944 34483652 68967304 137934608