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134553144 = 233113141401
BaseRepresentation
bin10000000010100…
…01111000111000
3100101012000012210
420001101320320
5233421200034
621203535120
73222453135
oct1001217070
9311160183
10134553144
1169a51850
123908a4a0
1321b5105b
1413c2758c
15bc2c8e9
hex8051e38

134553144 has 128 divisors (see below), whose sum is σ = 389007360. Its totient is φ = 38400000.

The previous prime is 134553143. The next prime is 134553157. The reversal of 134553144 is 441355431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134553143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335344 + ... + 335744.

It is an arithmetic number, because the mean of its divisors is an integer number (3039120).

Almost surely, 2134553144 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 134553144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194503680).

134553144 is an abundant number, since it is smaller than the sum of its proper divisors (254454216).

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

134553144 is a wasteful number, since it uses less digits than its factorization.

134553144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 134553144 is about 11599.7044789943. The cubic root of 134553144 is about 512.4261487081.

The spelling of 134553144 in words is "one hundred thirty-four million, five hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 41 44 62 66 82 88 93 123 124 132 164 186 246 248 264 328 341 372 401 451 492 682 744 802 902 984 1023 1203 1271 1353 1364 1604 1804 2046 2406 2542 2706 2728 3208 3608 3813 4092 4411 4812 5084 5412 7626 8184 8822 9624 10168 10824 12431 13233 13981 15252 16441 17644 24862 26466 27962 30504 32882 35288 37293 41943 49323 49724 52932 55924 65764 74586 83886 98646 99448 105864 111848 131528 136741 149172 167772 180851 197292 273482 298344 335544 361702 394584 410223 509671 542553 546964 723404 820446 1019342 1085106 1093928 1446808 1529013 1640892 2038684 2170212 3058026 3281784 4077368 4340424 5606381 6116052 11212762 12232104 16819143 22425524 33638286 44851048 67276572 134553144