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137844525 = 352713191063
BaseRepresentation
bin10000011011101…
…01011100101101
3100121101020010210
420031311130231
5240242011100
621402253033
73262442040
oct1015653455
9317336123
10137844525
117089a6a5
123a1b7179
1322734210
1414442c57
15c17cc50
hex837572d

137844525 has 96 divisors (see below), whose sum is σ = 295536640. Its totient is φ = 55054080.

The previous prime is 137844503. The next prime is 137844559. The reversal of 137844525 is 525448731.

It is not a de Polignac number, because 137844525 - 26 = 137844461 is a prime.

It is a super-2 number, since 2×1378445252 = 38002226144951250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129144 + ... + 130206.

Almost surely, 2137844525 is an apocalyptic number.

137844525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137844525 is an abundant number, since it is smaller than the sum of its proper divisors (157692115).

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

137844525 is a wasteful number, since it uses less digits than its factorization.

137844525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1110 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 137844525 is about 11740.7208041074. The cubic root of 137844525 is about 516.5707846124.

The spelling of 137844525 in words is "one hundred thirty-seven million, eight hundred forty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 13 15 19 21 25 35 39 57 65 75 91 95 105 133 175 195 247 273 285 325 399 455 475 525 665 741 975 1063 1235 1365 1425 1729 1995 2275 3189 3325 3705 5187 5315 6175 6825 7441 8645 9975 13819 15945 18525 20197 22323 25935 26575 37205 41457 43225 60591 69095 79725 96733 100985 111615 129675 141379 186025 207285 262561 290199 302955 345475 424137 483665 504925 558075 706895 787683 1036425 1312805 1450995 1514775 1837927 2120685 2418325 3534475 3938415 5513781 6564025 7254975 9189635 10603425 19692075 27568905 45948175 137844525