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137497660 = 22543612621
BaseRepresentation
bin10000011001000…
…00110000111100
3100120201121022221
420030200300330
5240144411120
621351015124
73256465546
oct1014406074
9316647287
10137497660
1170683033
123a06a4a4
1322642381
1414392696
15c1100aa
hex8320c3c

137497660 has 48 divisors (see below), whose sum is σ = 300418272. Its totient is φ = 52819200.

The previous prime is 137497637. The next prime is 137497667. The reversal of 137497660 is 66794731.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137497667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51150 + ... + 53770.

It is an arithmetic number, because the mean of its divisors is an integer number (6258714).

Almost surely, 2137497660 is an apocalyptic number.

137497660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137497660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150209136).

137497660 is an abundant number, since it is smaller than the sum of its proper divisors (162920612).

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

137497660 is a wasteful number, since it uses less digits than its factorization.

137497660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 137497660 is about 11725.9396211988. The cubic root of 137497660 is about 516.1371297898.

The spelling of 137497660 in words is "one hundred thirty-seven million, four hundred ninety-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 215 244 305 430 610 860 1220 2621 2623 5242 5246 10484 10492 13105 13115 26210 26230 52420 52460 112703 159881 225406 319762 450812 563515 639524 799405 1127030 1598810 2254060 3197620 6874883 13749766 27499532 34374415 68748830 137497660