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135068736 = 26311312063
BaseRepresentation
bin10000000110011…
…11110001000000
3100102011012110210
420003033301000
5234034144421
621222554120
73230031255
oct1003176100
9312135423
10135068736
116a274160
1239298940
1321ca193a
1413d1d42c
15bcd0576
hex80cfc40

135068736 has 112 divisors (see below), whose sum is σ = 402628608. Its totient is φ = 39590400.

The previous prime is 135068707. The next prime is 135068737. The reversal of 135068736 is 637860531.

It is a junction number, because it is equal to n+sod(n) for n = 135068694 and 135068703.

It is not an unprimeable number, because it can be changed into a prime (135068737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64441 + ... + 66503.

Almost surely, 2135068736 is an apocalyptic number.

135068736 is a gapful number since it is divisible by the number (16) 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 135068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201314304).

135068736 is an abundant number, since it is smaller than the sum of its proper divisors (267559872).

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

135068736 is a wasteful number, since it uses less digits than its factorization.

135068736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 135068736 is about 11621.9075886878. The cubic root of 135068736 is about 513.0798336061.

The spelling of 135068736 in words is "one hundred thirty-five million, sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2063 2112 2728 2976 4092 4126 5456 5952 6189 8184 8252 10912 12378 16368 16504 21824 22693 24756 32736 33008 45386 49512 63953 65472 66016 68079 90772 99024 127906 132032 136158 181544 191859 198048 255812 272316 363088 383718 396096 511624 544632 703483 726176 767436 1023248 1089264 1406966 1452352 1534872 2046496 2110449 2178528 2813932 3069744 4092992 4220898 4357056 5627864 6139488 8441796 11255728 12278976 16883592 22511456 33767184 45022912 67534368 135068736