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134956692 = 2234131792
BaseRepresentation
bin10000000101101…
…00011010010100
3100101221111210000
420002310122110
5234022103232
621220331300
73226053513
oct1002643224
9311844700
10134956692
116a1a7a62
1239243b30
1321c62940
1413cd067a
15bcac27c
hex80b4694

134956692 has 90 divisors (see below), whose sum is σ = 382076618. Its totient is φ = 41293152.

The previous prime is 134956687. The next prime is 134956697. The reversal of 134956692 is 296659431.

134956692 is a `hidden beast` number, since 13 + 495 + 66 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (134956687) and next prime (134956697).

It can be written as a sum of positive squares in only one way, i.e., 93431556 + 41525136 = 9666^2 + 6444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134956697) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 753859 + ... + 754037.

Almost surely, 2134956692 is an apocalyptic number.

134956692 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 134956692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191038309).

134956692 is an abundant number, since it is smaller than the sum of its proper divisors (247119926).

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

134956692 is a wasteful number, since it uses less digits than its factorization.

134956692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 197 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 134956692 is about 11617.0862095450. The cubic root of 134956692 is about 512.9379221077.

The spelling of 134956692 in words is "one hundred thirty-four million, nine hundred fifty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 179 234 324 351 358 468 537 702 716 1053 1074 1404 1611 2106 2148 2327 3222 4212 4654 4833 6444 6981 9308 9666 13962 14499 19332 20943 27924 28998 32041 41886 57996 62829 64082 83772 96123 125658 128164 188487 192246 251316 288369 376974 384492 416533 576738 753948 833066 865107 1153476 1249599 1666132 1730214 2499198 2595321 3460428 3748797 4998396 5190642 7497594 10381284 11246391 14995188 22492782 33739173 44985564 67478346 134956692