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134626272 = 25311127487
BaseRepresentation
bin10000000011000…
…11101111100000
3100101022201112020
420001203233200
5233431020042
621205301440
73223206264
oct1001435740
9311281466
10134626272
1169aa1790
1239104880
1321b78421
1413c460a4
15bc443ec
hex8063be0

134626272 has 48 divisors (see below), whose sum is σ = 385523712. Its totient is φ = 40795520.

The previous prime is 134626231. The next prime is 134626277. The reversal of 134626272 is 272626431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1346262722 = 36248466225235968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134626277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62688 + ... + 64799.

It is an arithmetic number, because the mean of its divisors is an integer number (8031744).

Almost surely, 2134626272 is an apocalyptic number.

134626272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134626272 is an abundant number, since it is smaller than the sum of its proper divisors (250897440).

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

134626272 is a wasteful number, since it uses less digits than its factorization.

134626272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127511 (or 127503 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 134626272 is about 11602.8562000914. The cubic root of 134626272 is about 512.5189643587.

The spelling of 134626272 in words is "one hundred thirty-four million, six hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 127487 254974 382461 509948 764922 1019896 1402357 1529844 2039792 2804714 3059688 4079584 4207071 5609428 6119376 8414142 11218856 12238752 16828284 22437712 33656568 44875424 67313136 134626272