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1137134001294 = 23429896926987
BaseRepresentation
bin10000100011000010011…
…101111101110010001110
311000201010211020111010000
4100203002131331302032
5122112322301020134
62230220412025130
7145104145346664
oct20430235756216
94021124214100
101137134001294
113a928a553865
12164473a621a6
13833011630c5
143d075190c34
151e8a5a62e99
hex108c277dc8e

1137134001294 has 80 divisors (see below), whose sum is σ = 2636276900400. Its totient is φ = 365919797376.

The previous prime is 1137134001233. The next prime is 1137134001299. The reversal of 1137134001294 is 4921004317311.

It is a happy number.

1137134001294 is a `hidden beast` number, since 113 + 7 + 13 + 400 + 129 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137134001299) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42122869 + ... + 42149855.

It is an arithmetic number, because the mean of its divisors is an integer number (32953461255).

Almost surely, 21137134001294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137134001294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318138450200).

1137134001294 is an abundant number, since it is smaller than the sum of its proper divisors (1499142899106).

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

1137134001294 is a wasteful number, since it uses less digits than its factorization.

1137134001294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35999 (or 35990 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1137134001294 in words is "one trillion, one hundred thirty-seven billion, one hundred thirty-four million, one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 8969 17938 26907 26987 53814 53974 80721 80961 161442 161922 242163 242883 260101 484326 485766 520202 726489 728649 780303 782623 1452978 1457298 1560606 1565246 2185947 2340909 2347869 4371894 4681818 4695738 7022727 7043607 14045454 14087214 21068181 21130821 42136362 42261642 63392463 126784926 242046403 484092806 726139209 1452278418 2178417627 4356835254 6535252881 7019345687 13070505762 14038691374 19605758643 21058037061 39211517286 42116074122 63174111183 126348222366 189522333549 379044667098 568567000647 1137134001294