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137949156 = 2235347409
BaseRepresentation
bin10000011100011…
…10111111100100
3100121120112200000
420032032333210
5240303333111
621404421300
73263356062
oct1016167744
9317515600
10137949156
1170961274
123a247830
132276ca27
141446d032
15c19dc56
hex838efe4

137949156 has 72 divisors (see below), whose sum is σ = 363548640. Its totient is φ = 45738432.

The previous prime is 137949151. The next prime is 137949191. The reversal of 137949156 is 651949731.

It is a super-2 number, since 2×1379491562 = 38059939282224672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137949151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337080 + ... + 337488.

Almost surely, 2137949156 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 137949156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181774320).

137949156 is an abundant number, since it is smaller than the sum of its proper divisors (225599484).

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

137949156 is a wasteful number, since it uses less digits than its factorization.

137949156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 137949156 is about 11745.1758607524. The cubic root of 137949156 is about 516.7014527163.

The spelling of 137949156 in words is "one hundred thirty-seven million, nine hundred forty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 347 409 486 694 818 972 1041 1227 1388 1636 2082 2454 3123 3681 4164 4908 6246 7362 9369 11043 12492 14724 18738 22086 28107 33129 37476 44172 56214 66258 84321 99387 112428 132516 141923 168642 198774 283846 337284 397548 425769 567692 851538 1277307 1703076 2554614 3831921 5109228 7663842 11495763 15327684 22991526 34487289 45983052 68974578 137949156