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137196168 = 23341672081
BaseRepresentation
bin10000010110101…
…11001010001000
3100120011021202120
420023113022020
5240110234133
621340331240
73254101554
oct1013271210
9316137676
10137196168
117049756a
1239b43b20
1322568085
1414314864
15c0a0ab3
hex82d7288

137196168 has 64 divisors (see below), whose sum is σ = 356771520. Its totient is φ = 43929600.

The previous prime is 137196139. The next prime is 137196203. The reversal of 137196168 is 861691731.

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 15 ways as a sum of consecutive naturals, for example, 64888 + ... + 66968.

It is an arithmetic number, because the mean of its divisors is an integer number (5574555).

Almost surely, 2137196168 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 137196168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178385760).

137196168 is an abundant number, since it is smaller than the sum of its proper divisors (219575352).

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

137196168 is a wasteful number, since it uses less digits than its factorization.

137196168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 137196168 is about 11713.0767947623. The cubic root of 137196168 is about 515.7596079933.

The spelling of 137196168 in words is "one hundred thirty-seven million, one hundred ninety-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 67 82 123 134 164 201 246 268 328 402 492 536 804 984 1608 2081 2747 4162 5494 6243 8241 8324 10988 12486 16482 16648 21976 24972 32964 49944 65928 85321 139427 170642 255963 278854 341284 418281 511926 557708 682568 836562 1023852 1115416 1673124 2047704 3346248 5716507 11433014 17149521 22866028 34299042 45732056 68598084 137196168