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138952500 = 2235497191
BaseRepresentation
bin10000100100000…
…11111100110100
3100200110111222220
420102003330310
5241032440000
621442122340
73305035221
oct1022037464
9320414886
10138952500
1171487085
123a6503b0
1322a3161b
1414650948
15c2eb1a0
hex8483f34

138952500 has 120 divisors (see below), whose sum is σ = 411468288. Its totient is φ = 36480000.

The previous prime is 138952481. The next prime is 138952511. The reversal of 138952500 is 5259831.

138952500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 727405 + ... + 727595.

Almost surely, 2138952500 is an apocalyptic number.

138952500 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 138952500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205734144).

138952500 is an abundant number, since it is smaller than the sum of its proper divisors (272515788).

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

138952500 is a wasteful number, since it uses less digits than its factorization.

138952500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 138952500 is about 11787.8115017165. The cubic root of 138952500 is about 517.9511340635.

The spelling of 138952500 in words is "one hundred thirty-eight million, nine hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 125 150 191 194 250 291 300 375 382 388 485 500 573 582 625 750 764 955 970 1146 1164 1250 1455 1500 1875 1910 1940 2292 2425 2500 2865 2910 3750 3820 4775 4850 5730 5820 7275 7500 9550 9700 11460 12125 14325 14550 18527 19100 23875 24250 28650 29100 36375 37054 47750 48500 55581 57300 60625 71625 72750 74108 92635 95500 111162 119375 121250 143250 145500 181875 185270 222324 238750 242500 277905 286500 358125 363750 370540 463175 477500 555810 716250 727500 926350 1111620 1389525 1432500 1852700 2315875 2779050 4631750 5558100 6947625 9263500 11579375 13895250 23158750 27790500 34738125 46317500 69476250 138952500