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138170752132 = 227213713937019
BaseRepresentation
bin1000000010101110011…
…1100101110010000100
3111012122100122110102011
42000223213211302010
54230433203032012
6143250314424004
712661000005100
oct2005347456204
9435570573364
10138170752132
1153663873146
1222941132004
131004c9013ca
14698a700900
1538da33c1a7
hex202b9e5c84

138170752132 has 72 divisors (see below), whose sum is σ = 285375333600. Its totient is φ = 58359321216.

The previous prime is 138170752081. The next prime is 138170752133. The reversal of 138170752132 is 231257071831.

It is not an unprimeable number, because it can be changed into a prime (138170752133) 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, 3713919 + ... + 3750937.

It is an arithmetic number, because the mean of its divisors is an integer number (3963546300).

Almost surely, 2138170752132 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 138170752132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142687666800).

138170752132 is an abundant number, since it is smaller than the sum of its proper divisors (147204581468).

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

138170752132 is a wasteful number, since it uses less digits than its factorization.

138170752132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37313 (or 37304 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 138170752132 in words is "one hundred thirty-eight billion, one hundred seventy million, seven hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 137 139 196 274 278 548 556 959 973 1918 1946 3836 3892 6713 6811 13426 13622 19043 26852 27244 37019 38086 74038 76172 133301 148076 259133 266602 518266 533204 933107 1036532 1813931 1866214 3627862 3732428 5071603 5145641 7255724 10143206 10291282 20286412 20582564 35501221 36019487 71002442 72038974 142004884 144077948 248508547 252136409 497017094 504272818 704952817 994034188 1008545636 1409905634 2819811268 4934669719 9869339438 19738678876 34542688033 69085376066 138170752132