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137072103 = 3771149617
BaseRepresentation
bin10000010101110…
…00110111100111
3100112220222120120
420022320313213
5240042301403
621333533023
73253044060
oct1012706747
9315828516
10137072103
1170412333
1239aa4173
132252376c
14142c1567
15c078e53
hex82b8de7

137072103 has 32 divisors (see below), whose sum is σ = 213580800. Its totient is φ = 76581120.

The previous prime is 137072057. The next prime is 137072113. The reversal of 137072103 is 301270731.

It is not a de Polignac number, because 137072103 - 214 = 137055719 is a prime.

It is a super-2 number, since 2×1370721032 = 37577522841685218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137072113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221851 + ... + 222467.

It is an arithmetic number, because the mean of its divisors is an integer number (6674400).

Almost surely, 2137072103 is an apocalyptic number.

137072103 is a deficient number, since it is larger than the sum of its proper divisors (76508697).

137072103 is a wasteful number, since it uses less digits than its factorization.

137072103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 137072103 is about 11707.7795930740. The cubic root of 137072103 is about 515.6040958431.

The spelling of 137072103 in words is "one hundred thirty-seven million, seventy-two thousand, one hundred three".

Divisors: 1 3 7 21 71 149 213 447 497 617 1043 1491 1851 3129 4319 10579 12957 31737 43807 74053 91933 131421 222159 275799 306649 643531 919947 1930593 6527243 19581729 45690701 137072103