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137974428 = 22351931241
BaseRepresentation
bin10000011100101…
…01001010011100
3100121121211100000
420032111022130
5240310140203
621405134300
73263522544
oct1016251234
9317554300
10137974428
1170979259
123a25a390
132277b397
1414478324
15c1a64a3
hex839529c

137974428 has 144 divisors (see below), whose sum is σ = 394634240. Its totient is φ = 41990400.

The previous prime is 137974411. The next prime is 137974433. The reversal of 137974428 is 824479731.

137974428 is a `hidden beast` number, since 137 + 97 + 4 + 428 = 666.

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, 572388 + ... + 572628.

Almost surely, 2137974428 is an apocalyptic number.

137974428 is a gapful number since it is divisible by the number (18) 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 137974428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197317120).

137974428 is an abundant number, since it is smaller than the sum of its proper divisors (256659812).

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

137974428 is a wasteful number, since it uses less digits than its factorization.

137974428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 137974428 is about 11746.2516574437. The cubic root of 137974428 is about 516.7330036687.

It can be divided in two parts, 13797 and 4428, that added together give a square (18225 = 1352).

The spelling of 137974428 in words is "one hundred thirty-seven million, nine hundred seventy-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 108 114 124 162 171 186 228 241 243 279 324 342 372 482 486 513 558 589 684 723 837 964 972 1026 1116 1178 1446 1539 1674 1767 2052 2169 2356 2511 2892 3078 3348 3534 4338 4579 4617 5022 5301 6156 6507 7068 7471 7533 8676 9158 9234 10044 10602 13014 13737 14942 15066 15903 18316 18468 19521 21204 22413 26028 27474 29884 30132 31806 39042 41211 44826 47709 54948 58563 63612 67239 78084 82422 89652 95418 117126 123633 134478 141949 143127 164844 190836 201717 234252 247266 268956 283898 286254 370899 403434 425847 494532 567796 572508 605151 741798 806868 851694 1112697 1210302 1277541 1483596 1703388 1815453 2225394 2420604 2555082 3630906 3832623 4450788 5110164 7261812 7665246 11497869 15330492 22995738 34493607 45991476 68987214 137974428