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136881920 = 285715277
BaseRepresentation
bin10000010100010…
…10011100000000
3100112120022200202
420022022130000
5240020210140
621325504332
73251322440
oct1012123400
9315508622
10136881920
11702a245a
1239a120a8
1322488026
1414272120
15c03c915
hex828a700

136881920 has 72 divisors (see below), whose sum is σ = 374738784. Its totient is φ = 46927872.

The previous prime is 136881919. The next prime is 136881923. The reversal of 136881920 is 29188631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136881923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322 + ... + 16598.

Almost surely, 2136881920 is an apocalyptic number.

136881920 is a gapful number since it is divisible by the number (10) 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 136881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187369392).

136881920 is an abundant number, since it is smaller than the sum of its proper divisors (237856864).

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

136881920 is an equidigital number, since it uses as much as digits as its factorization.

136881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15291 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 136881920 is about 11699.6546957592. The cubic root of 136881920 is about 515.3655242741.

The spelling of 136881920 in words is "one hundred thirty-six million, eight hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 15277 30554 61108 76385 106939 122216 152770 213878 244432 305540 427756 488864 534695 611080 855512 977728 1069390 1222160 1711024 1955456 2138780 2444320 3422048 3910912 4277560 4888640 6844096 8555120 9777280 13688192 17110240 19554560 27376384 34220480 68440960 136881920