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135502140 = 22353767911
BaseRepresentation
bin10000001001110…
…01100100111100
3100102222012222210
420010321210330
5234142032030
621240140420
73233514654
oct1004714474
9312865883
10135502140
116a53a844
1239467710
13220c3ca7
1413dd3364
15bd68bb0
hex813993c

135502140 has 96 divisors (see below), whose sum is σ = 395910144. Its totient is φ = 34594560.

The previous prime is 135502139. The next prime is 135502141. The reversal of 135502140 is 41205531.

It is an interprime number because it is at equal distance from previous prime (135502139) and next prime (135502141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135502141) 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, 148285 + ... + 149195.

It is an arithmetic number, because the mean of its divisors is an integer number (4124064).

Almost surely, 2135502140 is an apocalyptic number.

135502140 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 135502140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197955072).

135502140 is an abundant number, since it is smaller than the sum of its proper divisors (260408004).

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

135502140 is a wasteful number, since it uses less digits than its factorization.

135502140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 135502140 is about 11640.5386473307. The cubic root of 135502140 is about 513.6280320925.

Adding to 135502140 its reverse (41205531), we get a palindrome (176707671).

The spelling of 135502140 in words is "one hundred thirty-five million, five hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 67 74 111 134 148 185 201 222 268 335 370 402 444 555 670 740 804 911 1005 1110 1340 1822 2010 2220 2479 2733 3644 4020 4555 4958 5466 7437 9110 9916 10932 12395 13665 14874 18220 24790 27330 29748 33707 37185 49580 54660 61037 67414 74370 101121 122074 134828 148740 168535 183111 202242 244148 305185 337070 366222 404484 505605 610370 674140 732444 915555 1011210 1220740 1831110 2022420 2258369 3662220 4516738 6775107 9033476 11291845 13550214 22583690 27100428 33875535 45167380 67751070 135502140