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134122496 = 210227577
BaseRepresentation
bin1111111111010…
…00110000000000
3100100101010110212
413333220300000
5233313404441
621150413252
73216010454
oct777506000
9310333425
10134122496
1169788242
1238b01228
1321a30031
1413b54664
15bb94eeb
hex7fe8c00

134122496 has 44 divisors (see below), whose sum is σ = 269761848. Its totient is φ = 66650112.

The previous prime is 134122493. The next prime is 134122553. The reversal of 134122496 is 694221431.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (134122493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 232160 + ... + 232736.

Almost surely, 2134122496 is an apocalyptic number.

134122496 is a gapful number since it is divisible by the number (16) 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 134122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134880924).

134122496 is an abundant number, since it is smaller than the sum of its proper divisors (135639352).

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

134122496 is an equidigital number, since it uses as much as digits as its factorization.

134122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 806 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 134122496 is about 11581.1267154798. The cubic root of 134122496 is about 511.8788775987.

The spelling of 134122496 in words is "one hundred thirty-four million, one hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 512 577 908 1024 1154 1816 2308 3632 4616 7264 9232 14528 18464 29056 36928 58112 73856 116224 130979 147712 232448 261958 295424 523916 590848 1047832 2095664 4191328 8382656 16765312 33530624 67061248 134122496