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137101644 = 223219227883
BaseRepresentation
bin10000010110000…
…00000101001100
3100112222111002200
420023000011030
5240044223034
621334321500
73253226151
oct1013000514
9315874080
10137101644
1170432549
1239ab9290
1322534044
14142cc228
15c082a99
hex82c014c

137101644 has 72 divisors (see below), whose sum is σ = 366824640. Its totient is φ = 43055712.

The previous prime is 137101621. The next prime is 137101661. The reversal of 137101644 is 446101731.

It is a happy number.

137101644 is a `hidden beast` number, since 1 + 3 + 7 + 10 + 1 + 644 = 666.

137101644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 154827 + ... + 155709.

Almost surely, 2137101644 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 137101644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183412320).

137101644 is an abundant number, since it is smaller than the sum of its proper divisors (229722996).

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

137101644 is a wasteful number, since it uses less digits than its factorization.

137101644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137101644 is about 11709.0411221415. The cubic root of 137101644 is about 515.6411332032.

The spelling of 137101644 in words is "one hundred thirty-seven million, one hundred one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 227 228 342 454 681 684 883 908 1362 1766 2043 2649 2724 3532 4086 4313 5298 7947 8172 8626 10596 12939 15894 16777 17252 25878 31788 33554 38817 50331 51756 67108 77634 100662 150993 155268 200441 201324 301986 400882 601323 603972 801764 1202646 1803969 2405292 3607938 3808379 7215876 7616758 11425137 15233516 22850274 34275411 45700548 68550822 137101644