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136973376 = 2633312557
BaseRepresentation
bin10000010101000…
…00110001000000
3100112201222011000
420022200301000
5240031122001
621331452000
73252153201
oct1012406100
9315658130
10136973376
1170355141
1239a57000
13224ba847
14142975a8
15c059a86
hex82a0c40

136973376 has 112 divisors (see below), whose sum is σ = 415828480. Its totient is φ = 44167680.

The previous prime is 136973363. The next prime is 136973377. The reversal of 136973376 is 673379631.

It is not an unprimeable number, because it can be changed into a prime (136973377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52290 + ... + 54846.

Almost surely, 2136973376 is an apocalyptic number.

136973376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207914240).

136973376 is an abundant number, since it is smaller than the sum of its proper divisors (278855104).

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

136973376 is a wasteful number, since it uses less digits than its factorization.

136973376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2593 counting only the distinct ones).

The product of its digits is 428652, while the sum is 45.

The square root of 136973376 is about 11703.5625345448. The cubic root of 136973376 is about 515.4802771358.

The spelling of 136973376 in words is "one hundred thirty-six million, nine hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2557 2976 3348 4464 5114 5952 6696 7671 8928 10228 13392 15342 17856 20456 23013 26784 30684 40912 46026 53568 61368 69039 79267 81824 92052 122736 138078 158534 163648 184104 237801 245472 276156 317068 368208 475602 490944 552312 634136 713403 736416 951204 1104624 1268272 1426806 1472832 1902408 2140209 2209248 2536544 2853612 3804816 4280418 4418496 5073088 5707224 7609632 8560836 11414448 15219264 17121672 22828896 34243344 45657792 68486688 136973376