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137343144 = 23331367503
BaseRepresentation
bin10000010111110…
…11000010101000
3100120102202101010
420023323002220
5240124440034
621343423520
73255253221
oct1013730250
9316382333
10137343144
1170587a34
1239bb4ba0
13225b9c43
1414352248
15c0ce3e9
hex82fb0a8

137343144 has 64 divisors (see below), whose sum is σ = 356106240. Its totient is φ = 44095680.

The previous prime is 137343139. The next prime is 137343163. The reversal of 137343144 is 441343731.

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, 272797 + ... + 273299.

It is an arithmetic number, because the mean of its divisors is an integer number (5564160).

Almost surely, 2137343144 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 137343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178053120).

137343144 is an abundant number, since it is smaller than the sum of its proper divisors (218763096).

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

137343144 is a wasteful number, since it uses less digits than its factorization.

137343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 906 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 137343144 is about 11719.3491286846. The cubic root of 137343144 is about 515.9437171951.

Adding to 137343144 its reverse (441343731), we get a palindrome (578686875).

The spelling of 137343144 in words is "one hundred thirty-seven million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 367 372 503 734 744 1006 1101 1468 1509 2012 2202 2936 3018 4024 4404 6036 8808 11377 12072 15593 22754 31186 34131 45508 46779 62372 68262 91016 93558 124744 136524 184601 187116 273048 369202 374232 553803 738404 1107606 1476808 2215212 4430424 5722631 11445262 17167893 22890524 34335786 45781048 68671572 137343144