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137421252 = 22333893271
BaseRepresentation
bin10000011000011…
…10000111000100
3100120120201112000
420030032013010
5240134440002
621345225300
73256030023
oct1014160704
9316521460
10137421252
1170630691
123a032230
1322616667
14143728ba
15c0e761c
hex830e1c4

137421252 has 48 divisors (see below), whose sum is σ = 357302400. Its totient is φ = 45675360.

The previous prime is 137421247. The next prime is 137421283. The reversal of 137421252 is 252124731.

It is a super-3 number, since 3×1374212523 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 40377 + ... + 43647.

It is an arithmetic number, because the mean of its divisors is an integer number (7443800).

Almost surely, 2137421252 is an apocalyptic number.

137421252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137421252 is an abundant number, since it is smaller than the sum of its proper divisors (219881148).

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

137421252 is a wasteful number, since it uses less digits than its factorization.

137421252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3665 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 137421252 is about 11722.6810926511. The cubic root of 137421252 is about 516.0415055851.

Adding to 137421252 its reverse (252124731), we get a palindrome (389545983).

The spelling of 137421252 in words is "one hundred thirty-seven million, four hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 389 778 1167 1556 2334 3271 3501 4668 6542 7002 9813 10503 13084 14004 19626 21006 29439 39252 42012 58878 88317 117756 176634 353268 1272419 2544838 3817257 5089676 7634514 11451771 15269028 22903542 34355313 45807084 68710626 137421252