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135672012 = 223271035227
BaseRepresentation
bin10000001011000…
…11000011001100
3100110021212000100
420011203003030
5234213001022
621243531100
73235123140
oct1005430314
9313255010
10135672012
116a646433
1239529a90
13221533c8
1414039220
15bd9e1ac
hex81630cc

135672012 has 72 divisors (see below), whose sum is σ = 395822336. Its totient is φ = 38379744.

The previous prime is 135672011. The next prime is 135672071. The reversal of 135672012 is 210276531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135672011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23343 + ... + 28569.

Almost surely, 2135672012 is an apocalyptic number.

135672012 is a gapful number since it is divisible by the number (12) 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 135672012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197911168).

135672012 is an abundant number, since it is smaller than the sum of its proper divisors (260150324).

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

135672012 is a wasteful number, since it uses less digits than its factorization.

135672012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135672012 is about 11647.8329314942. The cubic root of 135672012 is about 513.8425787306.

The spelling of 135672012 in words is "one hundred thirty-five million, six hundred seventy-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1854 2163 2884 3708 4326 5227 6489 8652 10454 12978 15681 20908 25956 31362 36589 47043 62724 73178 94086 109767 146356 188172 219534 329301 439068 538381 658602 1076762 1317204 1615143 2153524 3230286 3768667 4845429 6460572 7537334 9690858 11306001 15074668 19381716 22612002 33918003 45224004 67836006 135672012