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137481080 = 235111671871
BaseRepresentation
bin10000011000111…
…00101101111000
3100120200202120212
420030130231320
5240143343310
621350410252
73256366322
oct1014345570
9316622525
10137481080
1170671630
123a060988
1322637969
141438a612
15c10a205
hex831cb78

137481080 has 64 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 49667200.

The previous prime is 137481079. The next prime is 137481089. The reversal of 137481080 is 80184731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137481089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72545 + ... + 74415.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2137481080 is an apocalyptic number.

137481080 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 137481080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

137481080 is an abundant number, since it is smaller than the sum of its proper divisors (202174600).

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

137481080 is a wasteful number, since it uses less digits than its factorization.

137481080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 137481080 is about 11725.2326202937. The cubic root of 137481080 is about 516.1163830183.

The spelling of 137481080 in words is "one hundred thirty-seven million, four hundred eighty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 668 835 1336 1670 1837 1871 3340 3674 3742 6680 7348 7484 9185 9355 14696 14968 18370 18710 20581 36740 37420 41162 73480 74840 82324 102905 164648 205810 312457 411620 624914 823240 1249828 1562285 2499656 3124570 3437027 6249140 6874054 12498280 13748108 17185135 27496216 34370270 68740540 137481080