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135064040 = 2355216481
BaseRepresentation
bin10000000110011…
…10100111101000
3100102010222000212
420003032213220
5234034022130
621222520252
73230011466
oct1003164750
9312128025
10135064040
116a270681
1239296088
1321c9c767
1413d1b836
15bccde95
hex80ce9e8

135064040 has 32 divisors (see below), whose sum is σ = 304524360. Its totient is φ = 53913600.

The previous prime is 135064021. The next prime is 135064043. The reversal of 135064040 is 40460531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 123787876 + 11276164 = 11126^2 + 3358^2 .

It is a super-2 number, since 2×1350640402 = 36484589802243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135063997 and 135064015.

It is not an unprimeable number, because it can be changed into a prime (135064043) 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, 17600 + ... + 24080.

Almost surely, 2135064040 is an apocalyptic number.

135064040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135064040 is an abundant number, since it is smaller than the sum of its proper divisors (169460320).

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

135064040 is a wasteful number, since it uses less digits than its factorization.

135064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 135064040 is about 11621.7055546938. The cubic root of 135064040 is about 513.0738873723.

The spelling of 135064040 in words is "one hundred thirty-five million, sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 521 1042 2084 2605 4168 5210 6481 10420 12962 20840 25924 32405 51848 64810 129620 259240 3376601 6753202 13506404 16883005 27012808 33766010 67532020 135064040