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138154500 = 223253112791
BaseRepresentation
bin10000011110000…
…01001000000100
3100121221222100100
420033001020010
5240331421000
621413044100
73265202541
oct1017011004
9317858310
10138154500
1170a91580
123a326630
1322812333
14144c3bc8
15c1dea00
hex83c1204

138154500 has 144 divisors (see below), whose sum is σ = 475622784. Its totient is φ = 33480000.

The previous prime is 138154487. The next prime is 138154501. The reversal of 138154500 is 5451831.

138154500 is a `hidden beast` number, since 1 + 3 + 8 + 154 + 500 = 666.

138154500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138154501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48105 + ... + 50895.

It is an arithmetic number, because the mean of its divisors is an integer number (3302936).

Almost surely, 2138154500 is an apocalyptic number.

138154500 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 138154500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237811392).

138154500 is an abundant number, since it is smaller than the sum of its proper divisors (337468284).

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

138154500 is a wasteful number, since it uses less digits than its factorization.

138154500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 138154500 is about 11753.9142416473. The cubic root of 138154500 is about 516.9577039901.

The spelling of 138154500 in words is "one hundred thirty-eight million, one hundred fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 450 495 500 550 660 750 825 900 990 1100 1125 1375 1500 1650 1980 2250 2475 2750 2791 3300 4125 4500 4950 5500 5582 8250 8373 9900 11164 12375 13955 16500 16746 24750 25119 27910 30701 33492 41865 49500 50238 55820 61402 69775 83730 92103 100476 122804 125595 139550 153505 167460 184206 209325 251190 276309 279100 307010 348875 368412 418650 460515 502380 552618 614020 627975 697750 767525 837300 921030 1046625 1105236 1255950 1381545 1395500 1535050 1842060 2093250 2302575 2511900 2763090 3070100 3139875 3837625 4186500 4605150 5526180 6279750 6907725 7675250 9210300 11512875 12559500 13815450 15350500 23025750 27630900 34538625 46051500 69077250 138154500