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130137894 = 233101107223
BaseRepresentation
bin1111100000110…
…11111100100110
3100001212200122000
413300123330212
5231303403034
620525150130
73140103525
oct760337446
9301780560
10130137894
1167506587
12376bb346
1320c66493
14133d84bc
15b659599
hex7c1bf26

130137894 has 64 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 42357600.

The previous prime is 130137883. The next prime is 130137901. The reversal of 130137894 is 498731031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583467 + ... + 583689.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2130137894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130137894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

130137894 is an abundant number, since it is smaller than the sum of its proper divisors (165972186).

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

130137894 is a wasteful number, since it uses less digits than its factorization.

130137894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

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

The square root of 130137894 is about 11407.7997002051. The cubic root of 130137894 is about 506.7587522108.

The spelling of 130137894 in words is "one hundred thirty million, one hundred thirty-seven thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 101 107 202 214 223 303 321 446 606 642 669 909 963 1338 1818 1926 2007 2727 2889 4014 5454 5778 6021 10807 12042 21614 22523 23861 32421 45046 47722 64842 67569 71583 97263 135138 143166 194526 202707 214749 291789 405414 429498 583578 608121 644247 1216242 1288494 2409961 4819922 7229883 14459766 21689649 43379298 65068947 130137894