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136474000 = 24531329181
BaseRepresentation
bin10000010001001…
…10110110010000
3100111210121010121
420020212312100
5234414132000
621313040024
73245003245
oct1010466620
9314717117
10136474000
1170043a33
1239856014
1322374460
14141a75cc
15beabb1a
hex8226d90

136474000 has 160 divisors (see below), whose sum is σ = 369663840. Its totient is φ = 48384000.

The previous prime is 136473949. The next prime is 136474003. The reversal of 136474000 is 474631.

It can be written as a sum of positive squares in 16 ways, for example, as 136142224 + 331776 = 11668^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136474003) 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, 753910 + ... + 754090.

It is an arithmetic number, because the mean of its divisors is an integer number (2310399).

Almost surely, 2136474000 is an apocalyptic number.

136474000 is a gapful number since it is divisible by the number (10) 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 136474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184831920).

136474000 is an abundant number, since it is smaller than the sum of its proper divisors (233189840).

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

136474000 is a wasteful number, since it uses less digits than its factorization.

136474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 136474000 is about 11682.2086952768. The cubic root of 136474000 is about 514.8530702223.

The spelling of 136474000 in words is "one hundred thirty-six million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 29 40 50 52 58 65 80 100 104 116 125 130 145 181 200 208 232 250 260 290 325 362 377 400 464 500 520 580 650 724 725 754 905 1000 1040 1160 1300 1448 1450 1508 1625 1810 1885 2000 2320 2353 2600 2896 2900 3016 3250 3620 3625 3770 4525 4706 5200 5249 5800 6032 6500 7240 7250 7540 9050 9412 9425 10498 11600 11765 13000 14480 14500 15080 18100 18824 18850 20996 22625 23530 26000 26245 29000 30160 36200 37648 37700 41992 45250 47060 47125 52490 58000 58825 68237 72400 75400 83984 90500 94120 94250 104980 117650 131225 136474 150800 181000 188240 188500 209960 235300 262450 272948 294125 341185 362000 377000 419920 470600 524900 545896 588250 656125 682370 754000 941200 1049800 1091792 1176500 1312250 1364740 1705925 2099600 2353000 2624500 2729480 3411850 4706000 5249000 5458960 6823700 8529625 10498000 13647400 17059250 27294800 34118500 68237000 136474000