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137325089476 = 223124321392
BaseRepresentation
bin111111111100100110…
…1101001001011000100
3111010110102101100100001
41333321031221023010
54222220210330401
6143030345131044
712631021000231
oct1777115511304
9433412340301
10137325089476
115326a484293
1222745a89a84
13cc466513c3
14690a28a788
15388ae95601
hex1ff93692c4

137325089476 has 81 divisors (see below), whose sum is σ = 256072567023. Its totient is φ = 64435407120.

The previous prime is 137325089471. The next prime is 137325089479. The reversal of 137325089476 is 674980523731.

The square root of 137325089476 is 370574.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137325089471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 987950215 + ... + 987950353.

It is a 1-persistent number, because it is pandigital, but 2⋅137325089476 = 274650178952 is not.

Almost surely, 2137325089476 is an apocalyptic number.

137325089476 is the 370574-th square number.

It is an amenable number.

137325089476 is a deficient number, since it is larger than the sum of its proper divisors (118747477547).

137325089476 is an equidigital number, since it uses as much as digits as its factorization.

137325089476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 137325089476 in words is "one hundred thirty-seven billion, three hundred twenty-five million, eighty-nine thousand, four hundred seventy-six".

Divisors: 1 2 4 31 43 62 86 124 139 172 278 556 961 1333 1849 1922 2666 3698 3844 4309 5332 5977 7396 8618 11954 17236 19321 23908 38642 41323 57319 77284 82646 114638 133579 165292 185287 229276 257011 267158 370574 514022 534316 598951 741148 830803 1028044 1197902 1661606 1776889 2395804 3323212 3553778 5743897 7107556 7967341 11487794 15934682 18567481 22975588 25754893 31869364 35724529 37134962 51509786 71449058 74269924 103019572 142898116 246987571 493975142 798401683 987950284 1107460399 1596803366 2214920798 3193606732 4429841596 34331272369 68662544738 137325089476