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136044640 = 2555361263
BaseRepresentation
bin10000001101111…
…10000001100000
3100110222210011101
420012332001200
5234311412030
621255524144
73241234414
oct1006760140
9313883141
10136044640
116a880396
1239689654
1322253bb4
14140d4d44
15be247ca
hex81be060

136044640 has 96 divisors (see below), whose sum is σ = 334103616. Its totient is φ = 52316160.

The previous prime is 136044613. The next prime is 136044653. The reversal of 136044640 is 46440631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 136044599 and 136044608.

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, 517149 + ... + 517411.

It is an arithmetic number, because the mean of its divisors is an integer number (3480246).

Almost surely, 2136044640 is an apocalyptic number.

136044640 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 136044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167051808).

136044640 is an abundant number, since it is smaller than the sum of its proper divisors (198058976).

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

136044640 is a wasteful number, since it uses less digits than its factorization.

136044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 136044640 is about 11663.8175568722. The cubic root of 136044640 is about 514.3125776679.

The spelling of 136044640 in words is "one hundred thirty-six million, forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 61 80 106 122 160 212 244 263 265 305 424 488 526 530 610 848 976 1052 1060 1220 1315 1696 1952 2104 2120 2440 2630 3233 4208 4240 4880 5260 6466 8416 8480 9760 10520 12932 13939 16043 16165 21040 25864 27878 32086 32330 42080 51728 55756 64172 64660 69695 80215 103456 111512 128344 129320 139390 160430 223024 256688 258640 278780 320860 446048 513376 517280 557560 641720 850279 1115120 1283440 1700558 2230240 2566880 3401116 4251395 6802232 8502790 13604464 17005580 27208928 34011160 68022320 136044640