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135212440 = 23511307301
BaseRepresentation
bin10000000111100…
…10110110011000
3100102102111121011
420003302312120
5234103244230
621230023304
73231200236
oct1003626630
9312374534
10135212440
116a362120
1239347b34
132202217c
1413d59956
15bd0ce2a
hex80f2d98

135212440 has 32 divisors (see below), whose sum is σ = 331886160. Its totient is φ = 49168000.

The previous prime is 135212431. The next prime is 135212443. The reversal of 135212440 is 44212531.

It is a super-3 number, since 3×1352124403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135212443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153211 + ... + 154090.

Almost surely, 2135212440 is an apocalyptic number.

135212440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135212440 is an abundant number, since it is smaller than the sum of its proper divisors (196673720).

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

135212440 is a wasteful number, since it uses less digits than its factorization.

135212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307323 (or 307319 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 135212440 is about 11628.0884069567. The cubic root of 135212440 is about 513.2617298601.

Adding to 135212440 its reverse (44212531), we get a palindrome (179424971).

Subtracting from 135212440 its reverse (44212531), we obtain a palindrome (90999909).

The spelling of 135212440 in words is "one hundred thirty-five million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 307301 614602 1229204 1536505 2458408 3073010 3380311 6146020 6760622 12292040 13521244 16901555 27042488 33803110 67606220 135212440