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137422152 = 233271743373
BaseRepresentation
bin10000011000011…
…10010101001000
3100120120202202100
420030032111020
5240140002102
621345233400
73256032450
oct1014162510
9316522670
10137422152
117063132a
123a032860
1322616baa
1414372d60
15c0e7a1c
hex830e548

137422152 has 192 divisors, whose sum is σ = 462084480. Its totient is φ = 35997696.

The previous prime is 137422127. The next prime is 137422157. The reversal of 137422152 is 251224731.

It is a super-2 number, since 2×1374221522 = 37769695720622208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137422157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368238 + ... + 368610.

It is an arithmetic number, because the mean of its divisors is an integer number (2406690).

Almost surely, 2137422152 is an apocalyptic number.

137422152 is a gapful number since it is divisible by the number (12) 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 137422152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231042240).

137422152 is an abundant number, since it is smaller than the sum of its proper divisors (324662328).

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

137422152 is a wasteful number, since it uses less digits than its factorization.

137422152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

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

The square root of 137422152 is about 11722.7194797112. The cubic root of 137422152 is about 516.0426321365.

Adding to 137422152 its reverse (251224731), we get a palindrome (388646883).

The spelling of 137422152 in words is "one hundred thirty-seven million, four hundred twenty-two thousand, one hundred fifty-two".