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134553016 = 23133773479
BaseRepresentation
bin10000000010100…
…01110110111000
3100101012000001001
420001101312320
5233421144031
621203534344
73222452563
oct1001216670
9311160031
10134553016
1169a51744
123908a3b4
1321b50c90
1413c274da
15bc2c861
hex8051db8

134553016 has 64 divisors (see below), whose sum is σ = 283449600. Its totient is φ = 59470848.

The previous prime is 134552987. The next prime is 134553017. The reversal of 134553016 is 610355431.

It is a super-2 number, since 2×1345530162 = 36209028229392512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134553017) 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 15 ways as a sum of consecutive naturals, for example, 280665 + ... + 281143.

It is an arithmetic number, because the mean of its divisors is an integer number (4428900).

Almost surely, 2134553016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134553016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141724800).

134553016 is an abundant number, since it is smaller than the sum of its proper divisors (148896584).

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

134553016 is a wasteful number, since it uses less digits than its factorization.

134553016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 134553016 is about 11599.6989616110. The cubic root of 134553016 is about 512.4259862183.

It can be divided in two parts, 13455 and 3016, that added together give a triangular number (16471 = T181).

The spelling of 134553016 in words is "one hundred thirty-four million, five hundred fifty-three thousand, sixteen".

Divisors: 1 2 4 8 13 26 37 52 73 74 104 146 148 292 296 479 481 584 949 958 962 1898 1916 1924 2701 3796 3832 3848 5402 6227 7592 10804 12454 17723 21608 24908 34967 35113 35446 49816 69934 70226 70892 139868 140452 141784 230399 279736 280904 454571 460798 909142 921596 1293779 1818284 1843192 2587558 3636568 5175116 10350232 16819127 33638254 67276508 134553016