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137203000 = 23531112473
BaseRepresentation
bin10000010110110…
…00110100111000
3100120011122010121
420023120310320
5240110444000
621340423024
73254130514
oct1013306470
9316148117
10137203000
11704a1710
1239b47a74
132256b20c
1414317144
15c0a2b1a
hex82d8d38

137203000 has 64 divisors (see below), whose sum is σ = 350269920. Its totient is φ = 49888000.

The previous prime is 137202991. The next prime is 137203007. The reversal of 137203000 is 302731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137203007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4764 + ... + 17236.

Almost surely, 2137203000 is an apocalyptic number.

137203000 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 137203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175134960).

137203000 is an abundant number, since it is smaller than the sum of its proper divisors (213066920).

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

137203000 is a wasteful number, since it uses less digits than its factorization.

137203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 137203000 is about 11713.3684309852. The cubic root of 137203000 is about 515.7681689981.

Adding to 137203000 its reverse (302731), we get a palindrome (137505731).

The spelling of 137203000 in words is "one hundred thirty-seven million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 12473 24946 49892 62365 99784 124730 137203 249460 274406 311825 498920 548812 623650 686015 1097624 1247300 1372030 1559125 2494600 2744060 3118250 3430075 5488120 6236500 6860150 12473000 13720300 17150375 27440600 34300750 68601500 137203000