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137321792 = 264159887
BaseRepresentation
bin10000010111101…
…01110101000000
3100120101200002022
420023311311000
5240123244132
621343141012
73255134036
oct1013656500
9316350068
10137321792
1170572993
1239ba4768
13225b02ca
1414348556
15c0c7e12
hex82f5d40

137321792 has 56 divisors (see below), whose sum is σ = 284195520. Its totient is φ = 65776640.

The previous prime is 137321791. The next prime is 137321809. The reversal of 137321792 is 297123731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137321791) 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, 154373 + ... + 155259.

It is an arithmetic number, because the mean of its divisors is an integer number (5074920).

Almost surely, 2137321792 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 137321792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142097760).

137321792 is an abundant number, since it is smaller than the sum of its proper divisors (146873728).

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

137321792 is an equidigital number, since it uses as much as digits as its factorization.

137321792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 989 counting only the distinct ones).

The product of its digits is 15876, while the sum is 35.

The square root of 137321792 is about 11718.4381211832. The cubic root of 137321792 is about 515.9169788111.

The spelling of 137321792 in words is "one hundred thirty-seven million, three hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 59 64 82 118 164 236 328 472 656 887 944 1312 1774 1888 2419 2624 3548 3776 4838 7096 9676 14192 19352 28384 36367 38704 52333 56768 72734 77408 104666 145468 154816 209332 290936 418664 581872 837328 1163744 1674656 2145653 2327488 3349312 4291306 8582612 17165224 34330448 68660896 137321792