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137473152 = 2731721059
BaseRepresentation
bin10000011000110…
…10110010000000
3100120200100201020
420030122302000
5240143120102
621350305440
73256334235
oct1014326200
9316610636
10137473152
1170666683
123a058280
132263417b
141438778c
15c107bbc
hex831ac80

137473152 has 64 divisors (see below), whose sum is σ = 386661600. Its totient is φ = 43126784.

The previous prime is 137473129. The next prime is 137473157. The reversal of 137473152 is 251374731.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (137473157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4002 + ... + 17057.

Almost surely, 2137473152 is an apocalyptic number.

137473152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137473152 is an abundant number, since it is smaller than the sum of its proper divisors (249188448).

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

137473152 is a wasteful number, since it uses less digits than its factorization.

137473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21093 (or 21081 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 137473152 is about 11724.8945411036. The cubic root of 137473152 is about 516.1064620184.

The spelling of 137473152 in words is "one hundred thirty-seven million, four hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 21059 42118 63177 84236 126354 168472 252708 336944 358003 505416 673888 716006 1010832 1074009 1347776 1432012 2021664 2148018 2695552 2864024 4043328 4296036 5728048 8086656 8592072 11456096 17184144 22912192 34368288 45824384 68736576 137473152