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137374020 = 223257313517
BaseRepresentation
bin10000011000000…
…10100101000100
3100120111022201200
420030002211010
5240131432040
621344222500
73255442230
oct1014024504
9316438650
10137374020
11705a9153
123a00aa30
13225cb004
141435d5c0
15c0d8630
hex8302944

137374020 has 144 divisors (see below), whose sum is σ = 491731968. Its totient is φ = 30378240.

The previous prime is 137374001. The next prime is 137374031. The reversal of 137374020 is 20473731.

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, 37302 + ... + 40818.

Almost surely, 2137374020 is an apocalyptic number.

137374020 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 137374020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245865984).

137374020 is an abundant number, since it is smaller than the sum of its proper divisors (354357948).

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

137374020 is a wasteful number, since it uses less digits than its factorization.

137374020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137374020 is about 11720.6663633089. Note that the first 3 decimals coincide. The cubic root of 137374020 is about 515.9823772601.

The spelling of 137374020 in words is "one hundred thirty-seven million, three hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3517 3906 4340 5580 6510 7034 7812 9765 10551 13020 14068 17585 19530 21102 24619 31653 35170 39060 42204 49238 52755 63306 70340 73857 98476 105510 109027 123095 126612 147714 158265 211020 218054 221571 246190 295428 316530 327081 369285 436108 443142 492380 545135 633060 654162 738570 763189 886284 981243 1090270 1107855 1308324 1477140 1526378 1635405 1962486 2180540 2215710 2289567 3052756 3270810 3815945 3924972 4431420 4579134 4906215 6541620 6868701 7631890 9158268 9812430 11447835 13737402 15263780 19624860 22895670 27474804 34343505 45791340 68687010 137374020