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137446950 = 235219291663
BaseRepresentation
bin10000011000101…
…00011000100110
3100120122000202210
420030110120212
5240141300300
621345544250
73256164654
oct1014243046
9316560683
10137446950
1170648a23
123a045086
1322625274
141437bdd4
15c100050
hex8314626

137446950 has 96 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 33505920.

The previous prime is 137446937. The next prime is 137446999. The reversal of 137446950 is 59644731.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137446899 and 137446908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81819 + ... + 83481.

It is an arithmetic number, because the mean of its divisors is an integer number (3868800).

Almost surely, 2137446950 is an apocalyptic number.

137446950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137446950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

137446950 is an abundant number, since it is smaller than the sum of its proper divisors (233957850).

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

137446950 is a wasteful number, since it uses less digits than its factorization.

137446950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 137446950 is about 11723.7771217300. Note that the first 3 decimals coincide. The cubic root of 137446950 is about 516.0736704501.

The spelling of 137446950 in words is "one hundred thirty-seven million, four hundred forty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 29 30 38 50 57 58 75 87 95 114 145 150 174 190 285 290 435 475 551 570 725 870 950 1102 1425 1450 1653 1663 2175 2755 2850 3306 3326 4350 4989 5510 8265 8315 9978 13775 16530 16630 24945 27550 31597 41325 41575 48227 49890 63194 82650 83150 94791 96454 124725 144681 157985 189582 241135 249450 289362 315970 473955 482270 723405 789925 916313 947910 1205675 1446810 1579850 1832626 2369775 2411350 2748939 3617025 4581565 4739550 5497878 7234050 9163130 13744695 22907825 27489390 45815650 68723475 137446950