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137197944 = 233213236373
BaseRepresentation
bin10000010110101…
…11100101111000
3100120011101012100
420023113211320
5240110313234
621340343400
73254110002
oct1013274570
9316141170
10137197944
1170498934
1239b44b60
1322568b20
1414315372
15c0a1399
hex82d7978

137197944 has 96 divisors (see below), whose sum is σ = 417624480. Its totient is φ = 40372992.

The previous prime is 137197919. The next prime is 137197981. The reversal of 137197944 is 449791731.

137197944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137197944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18342 + ... + 24714.

It is an arithmetic number, because the mean of its divisors is an integer number (4350255).

Almost surely, 2137197944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137197944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208812240).

137197944 is an abundant number, since it is smaller than the sum of its proper divisors (280426536).

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

137197944 is a wasteful number, since it uses less digits than its factorization.

137197944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6414 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 137197944 is about 11713.1526072189. The cubic root of 137197944 is about 515.7618334809.

The spelling of 137197944 in words is "one hundred thirty-seven million, one hundred ninety-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 5382 6373 7176 10764 12746 19119 21528 25492 38238 50984 57357 76476 82849 114714 146579 152952 165698 229428 248547 293158 331396 439737 458856 497094 586316 662792 745641 879474 994188 1172632 1319211 1491282 1758948 1905527 1988376 2638422 2982564 3517896 3811054 5276844 5716581 5965128 7622108 10553688 11433162 15244216 17149743 22866324 34299486 45732648 68598972 137197944