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137990125 = 5372131733
BaseRepresentation
bin10000011100110…
…00111111101101
3100121122121212101
420032120333231
5240311141000
621405335101
73263616400
oct1016307755
9317577771
10137990125
117098a029
123a267491
1322785580
141447dd37
15c1aae6a
hex8398fed

137990125 has 48 divisors (see below), whose sum is σ = 215862192. Its totient is φ = 87292800.

The previous prime is 137990123. The next prime is 137990137. The reversal of 137990125 is 521099731.

It can be written as a sum of positive squares in 8 ways, for example, as 74978281 + 63011844 = 8659^2 + 7938^2 .

It is not a de Polignac number, because 137990125 - 21 = 137990123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137990123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78759 + ... + 80491.

It is an arithmetic number, because the mean of its divisors is an integer number (4497129).

Almost surely, 2137990125 is an apocalyptic number.

It is an amenable number.

137990125 is a deficient number, since it is larger than the sum of its proper divisors (77872067).

137990125 is a wasteful number, since it uses less digits than its factorization.

137990125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 137990125 is about 11746.9198090393. The cubic root of 137990125 is about 516.7525987258.

The spelling of 137990125 in words is "one hundred thirty-seven million, nine hundred ninety thousand, one hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 125 175 245 325 455 637 875 1225 1625 1733 2275 3185 6125 8665 11375 12131 15925 22529 43325 60655 79625 84917 112645 157703 216625 303275 424585 563225 788515 1103921 1516375 2122925 2816125 3942575 5519605 10614625 19712875 27598025 137990125