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137343140 = 225115311779
BaseRepresentation
bin10000010111110…
…11000010100100
3100120102202100222
420023323002210
5240124440030
621343423512
73255253214
oct1013730244
9316382328
10137343140
1170587a30
1239bb4b98
13225b9c3c
1414352244
15c0ce3e5
hex82fb0a4

137343140 has 48 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 48996480.

The previous prime is 137343139. The next prime is 137343163. The reversal of 137343140 is 41343731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5771 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2137343140 is an apocalyptic number.

137343140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

137343140 is an abundant number, since it is smaller than the sum of its proper divisors (183261340).

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

137343140 is a wasteful number, since it uses less digits than its factorization.

137343140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 137343140 is about 11719.3489580266. The cubic root of 137343140 is about 515.9437121863.

Adding to 137343140 its reverse (41343731), we get a palindrome (178686871).

The spelling of 137343140 in words is "one hundred thirty-seven million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 11779 23558 47116 58895 117790 129569 235580 259138 518276 624287 647845 1248574 1295690 2497148 2591380 3121435 6242870 6867157 12485740 13734314 27468628 34335785 68671570 137343140