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135387740 = 2254124027
BaseRepresentation
bin10000001000111…
…01101001011100
3100102202102001202
420010131221130
5234124401430
621233455032
73232530305
oct1004355134
9312672052
10135387740
116a4718a4
1239411478
1322083bb7
1413da37ac
15bd44d45
hex811da5c

135387740 has 36 divisors (see below), whose sum is σ = 291490248. Its totient is φ = 52821120.

The previous prime is 135387739. The next prime is 135387743. The reversal of 135387740 is 47783531.

It is a junction number, because it is equal to n+sod(n) for n = 135387694 and 135387703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135387743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31607 + ... + 35633.

Almost surely, 2135387740 is an apocalyptic number.

135387740 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 135387740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145745124).

135387740 is an abundant number, since it is smaller than the sum of its proper divisors (156102508).

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

135387740 is a wasteful number, since it uses less digits than its factorization.

135387740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 135387740 is about 11635.6237477842. The cubic root of 135387740 is about 513.4834449769.

The spelling of 135387740 in words is "one hundred thirty-five million, three hundred eighty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 3362 4027 6724 8054 8405 16108 16810 20135 33620 40270 80540 165107 330214 660428 825535 1651070 3302140 6769387 13538774 27077548 33846935 67693870 135387740