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134769492 = 2232111347557
BaseRepresentation
bin10000000100001…
…10101101010100
3100101120222222200
420002012231110
5234000110432
621212324500
73224343654
oct1002065524
9311528880
10134769492
116a08a350
1239173730
1321bc8680
1413c82364
15bc71a7c
hex8086b54

134769492 has 144 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 36829440.

The previous prime is 134769469. The next prime is 134769499. The reversal of 134769492 is 294967431.

It is a happy number.

134769492 is a `hidden beast` number, since 1 + 3 + 476 + 94 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134769499) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241678 + ... + 242234.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2134769492 is an apocalyptic number.

134769492 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 134769492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

134769492 is an abundant number, since it is smaller than the sum of its proper divisors (274704300).

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

134769492 is a wasteful number, since it uses less digits than its factorization.

134769492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 633 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 134769492 is about 11609.0263157596. The cubic root of 134769492 is about 512.7006449743.

The spelling of 134769492 in words is "one hundred thirty-four million, seven hundred sixty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 47 52 66 78 94 99 117 132 141 143 156 188 198 234 282 286 396 423 429 468 517 557 564 572 611 846 858 1034 1114 1222 1287 1551 1671 1692 1716 1833 2068 2228 2444 2574 3102 3342 3666 4653 5013 5148 5499 6127 6204 6684 6721 7241 7332 9306 10026 10998 12254 13442 14482 18381 18612 20052 20163 21723 21996 24508 26179 26884 28964 36762 40326 43446 52358 55143 60489 65169 73524 78537 79651 80652 86892 104716 110286 120978 130338 157074 159302 220572 235611 238953 241956 260676 287969 314148 318604 340327 471222 477906 575938 680654 716859 863907 942444 955812 1020981 1151876 1361308 1433718 1727814 2041962 2591721 2867436 3062943 3455628 3743597 4083924 5183442 6125886 7487194 10366884 11230791 12251772 14974388 22461582 33692373 44923164 67384746 134769492