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137736480 = 2535740993
BaseRepresentation
bin10000011010110…
…11000100100000
3100121011201221010
420031123010200
5240230031410
621400100520
73261512040
oct1015330440
9317151833
10137736480
1170826502
123a164740
13226c6c9b
1414415720
15c15ac20
hex835b120

137736480 has 96 divisors (see below), whose sum is σ = 495863424. Its totient is φ = 31481856.

The previous prime is 137736479. The next prime is 137736493. The reversal of 137736480 is 84637731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17137 + ... + 23856.

It is an arithmetic number, because the mean of its divisors is an integer number (5165244).

Almost surely, 2137736480 is an apocalyptic number.

137736480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137736480 is an abundant number, since it is smaller than the sum of its proper divisors (358126944).

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

137736480 is a wasteful number, since it uses less digits than its factorization.

137736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41018 (or 41010 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 137736480 is about 11736.1186088076. The cubic root of 137736480 is about 516.4357835326.

The spelling of 137736480 in words is "one hundred thirty-seven million, seven hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 40993 81986 122979 163972 204965 245958 286951 327944 409930 491916 573902 614895 655888 819860 860853 983832 1147804 1229790 1311776 1434755 1639720 1721706 1967664 2295608 2459580 2869510 3279440 3443412 3935328 4304265 4591216 4919160 5739020 6558880 6886824 8608530 9182432 9838320 11478040 13773648 17217060 19676640 22956080 27547296 34434120 45912160 68868240 137736480