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137255202 = 23371929659
BaseRepresentation
bin10000010111001…
…01100100100010
3100120021021202000
420023211210202
5240114131302
621341504430
73254435640
oct1013454442
9316237660
10137255202
1170527957
1239b72116
1322588bc6
141432c190
15c0b331c
hex82e5922

137255202 has 128 divisors (see below), whose sum is σ = 380160000. Its totient is φ = 35816256.

The previous prime is 137255179. The next prime is 137255281. The reversal of 137255202 is 202552731.

137255202 is a `hidden beast` number, since 137 + 2 + 5 + 520 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207949 + ... + 208607.

It is an arithmetic number, because the mean of its divisors is an integer number (2970000).

Almost surely, 2137255202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137255202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080000).

137255202 is an abundant number, since it is smaller than the sum of its proper divisors (242904798).

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

137255202 is a wasteful number, since it uses less digits than its factorization.

137255202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 137255202 is about 11715.5965277061. The cubic root of 137255202 is about 515.8335726118.

The spelling of 137255202 in words is "one hundred thirty-seven million, two hundred fifty-five thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 29 38 42 54 57 58 63 87 114 126 133 171 174 189 203 261 266 342 378 399 406 513 522 551 609 659 783 798 1026 1102 1197 1218 1318 1566 1653 1827 1977 2394 3306 3591 3654 3857 3954 4613 4959 5481 5931 7182 7714 9226 9918 10962 11571 11862 12521 13839 14877 17793 19111 23142 25042 27678 29754 34713 35586 37563 38222 41517 57333 69426 75126 83034 87647 104139 112689 114666 124551 133777 171999 175294 208278 225378 249102 262941 267554 338067 343998 363109 401331 515997 525882 676134 726218 788823 802662 1031994 1089327 1203993 1577646 2178654 2366469 2407986 2541763 3267981 3611979 4732938 5083526 6535962 7223958 7625289 9803943 15250578 19607886 22875867 45751734 68627601 137255202