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136258140 = 22355961631
BaseRepresentation
bin10000001111100…
…10001001011100
3100111101122000210
420013302021130
5234340230030
621304252420
73243114024
oct1007621134
9314348023
10136258140
116aa06837
1239771110
13222ca125
141414ca84
15be67bb0
hex81f225c

136258140 has 96 divisors (see below), whose sum is σ = 394974720. Its totient is φ = 35078400.

The previous prime is 136258093. The next prime is 136258147. The reversal of 136258140 is 41852631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 136258098 and 136258107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136258147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215625 + ... + 216255.

It is an arithmetic number, because the mean of its divisors is an integer number (4114320).

Almost surely, 2136258140 is an apocalyptic number.

136258140 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 136258140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197487360).

136258140 is an abundant number, since it is smaller than the sum of its proper divisors (258716580).

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

136258140 is a wasteful number, since it uses less digits than its factorization.

136258140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 136258140 is about 11672.9662040117. The cubic root of 136258140 is about 514.5814804452.

The spelling of 136258140 in words is "one hundred thirty-six million, two hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 61 118 122 177 183 236 244 295 305 354 366 590 610 631 708 732 885 915 1180 1220 1262 1770 1830 1893 2524 3155 3540 3599 3660 3786 6310 7198 7572 9465 10797 12620 14396 17995 18930 21594 35990 37229 37860 38491 43188 53985 71980 74458 76982 107970 111687 115473 148916 153964 186145 192455 215940 223374 230946 372290 384910 446748 461892 558435 577365 744580 769820 1116870 1154730 2233740 2270969 2309460 4541938 6812907 9083876 11354845 13625814 22709690 27251628 34064535 45419380 68129070 136258140