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136880544 = 25323471319
BaseRepresentation
bin10000010100010…
…10000110100000
3100112120020210210
420022022012200
5240020134134
621325454120
73251315433
oct1012120640
9315506723
10136880544
11702a1419
1239a11340
1322487508
141427181a
15c03c2e9
hex828a1a0

136880544 has 96 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 42682112.

The previous prime is 136880519. The next prime is 136880561. The reversal of 136880544 is 445088631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103117 + ... + 104435.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2136880544 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 136880544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

136880544 is an abundant number, since it is smaller than the sum of its proper divisors (246320736).

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

136880544 is a wasteful number, since it uses less digits than its factorization.

136880544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 136880544 is about 11699.5958904571. The cubic root of 136880544 is about 515.3637973713.

The spelling of 136880544 in words is "one hundred thirty-six million, eight hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 552 564 736 752 1081 1104 1128 1319 1504 2162 2208 2256 2638 3243 3957 4324 4512 5276 6486 7914 8648 10552 12972 15828 17296 21104 25944 30337 31656 34592 42208 51888 60674 61993 63312 91011 103776 121348 123986 126624 182022 185979 242696 247972 364044 371958 485392 495944 728088 743916 970784 991888 1425839 1456176 1487832 1983776 2851678 2912352 2975664 4277517 5703356 5951328 8555034 11406712 17110068 22813424 34220136 45626848 68440272 136880544