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137331064 = 23131976703
BaseRepresentation
bin10000010111110…
…00000101111000
3100120102010210201
420023320011320
5240124043224
621343251544
73255203053
oct1013700570
9316363721
10137331064
1170579952
1239ba9bb4
13225b45b0
141434ba9a
15c0caa44
hex82f8178

137331064 has 32 divisors (see below), whose sum is σ = 278752320. Its totient is φ = 63052416.

The previous prime is 137331043. The next prime is 137331079. The reversal of 137331064 is 460133731.

It is a happy number.

It is a super-2 number, since 2×1373310642 = 37719642278744192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17137 + ... + 23839.

It is an arithmetic number, because the mean of its divisors is an integer number (8711010).

Almost surely, 2137331064 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 137331064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139376160).

137331064 is an abundant number, since it is smaller than the sum of its proper divisors (141421256).

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

137331064 is a wasteful number, since it uses less digits than its factorization.

137331064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 137331064 is about 11718.8337303675. The cubic root of 137331064 is about 515.9285901620.

Adding to 137331064 its reverse (460133731), we get a palindrome (597464795).

The spelling of 137331064 in words is "one hundred thirty-seven million, three hundred thirty-one thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 197 394 788 1576 2561 5122 6703 10244 13406 20488 26812 53624 87139 174278 348556 697112 1320491 2640982 5281964 10563928 17166383 34332766 68665532 137331064