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135746380 = 225711181487
BaseRepresentation
bin10000001011101…
…01001101001100
3100110102122000201
420011311031030
5234222341010
621245303244
73235553020
oct1005651514
9313378021
10135746380
116a6972a0
1239564b24
132217b203
1414058380
15bdb623a
hex817534c

135746380 has 96 divisors (see below), whose sum is σ = 358106112. Its totient is φ = 41990400.

The previous prime is 135746371. The next prime is 135746381. The reversal of 135746380 is 83647531.

It is not an unprimeable number, because it can be changed into a prime (135746381) 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, 278497 + ... + 278983.

It is an arithmetic number, because the mean of its divisors is an integer number (3730272).

Almost surely, 2135746380 is an apocalyptic number.

135746380 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 135746380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179053056).

135746380 is an abundant number, since it is smaller than the sum of its proper divisors (222359732).

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

135746380 is a wasteful number, since it uses less digits than its factorization.

135746380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 135746380 is about 11651.0248476261. The cubic root of 135746380 is about 513.9364484100.

The spelling of 135746380 in words is "one hundred thirty-five million, seven hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 181 220 308 362 385 487 724 770 905 974 1267 1540 1810 1948 1991 2435 2534 3409 3620 3982 4870 5068 5357 6335 6818 7964 9740 9955 10714 12670 13636 13937 17045 19910 21428 25340 26785 27874 34090 37499 39820 53570 55748 68180 69685 74998 88147 107140 139370 149996 176294 187495 278740 352588 374990 440735 617029 749980 881470 969617 1234058 1762940 1939234 2468116 3085145 3878468 4848085 6170290 6787319 9696170 12340580 13574638 19392340 27149276 33936595 67873190 135746380