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137702196 = 223219238753
BaseRepresentation
bin10000011010100…
…10101100110100
3100121002222220100
420031102230310
5240222432241
621355234100
73261310062
oct1015225464
9317088810
10137702196
1170802775
123a148930
13226b44b8
1414407032
15c1509b6
hex8352b34

137702196 has 72 divisors (see below), whose sum is σ = 382374720. Its totient is φ = 41589504.

The previous prime is 137702183. The next prime is 137702221. The reversal of 137702196 is 691207731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137702196.

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, 11356 + ... + 20108.

It is an arithmetic number, because the mean of its divisors is an integer number (5310760).

Almost surely, 2137702196 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 137702196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191187360).

137702196 is an abundant number, since it is smaller than the sum of its proper divisors (244672524).

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

137702196 is a wasteful number, since it uses less digits than its factorization.

137702196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8805 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137702196 is about 11734.6578987204. The cubic root of 137702196 is about 516.3929312840.

The spelling of 137702196 in words is "one hundred thirty-seven million, seven hundred two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 7866 8753 15732 17506 26259 35012 52518 78777 105036 157554 166307 201319 315108 332614 402638 498921 603957 665228 805276 997842 1207914 1496763 1811871 1995684 2415828 2993526 3623742 3825061 5987052 7247484 7650122 11475183 15300244 22950366 34425549 45900732 68851098 137702196