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137395000 = 235427479
BaseRepresentation
bin10000011000001…
…11101100111000
3100120112101111201
420030013230320
5240133120000
621344503544
73255560341
oct1014075470
9316471451
10137395000
1170612996
123a01abb4
1322607722
14143670c8
15c0de96a
hex8307b38

137395000 has 40 divisors (see below), whose sum is σ = 321928200. Its totient is φ = 54956000.

The previous prime is 137394991. The next prime is 137395001. The reversal of 137395000 is 593731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 137395000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137395001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8740 + ... + 18739.

It is an arithmetic number, because the mean of its divisors is an integer number (8048205).

Almost surely, 2137395000 is an apocalyptic number.

137395000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137395000 is an abundant number, since it is smaller than the sum of its proper divisors (184533200).

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

137395000 is an equidigital number, since it uses as much as digits as its factorization.

137395000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27505 (or 27486 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 137395000 is about 11721.5613294475. The cubic root of 137395000 is about 516.0086431659.

The spelling of 137395000 in words is "one hundred thirty-seven million, three hundred ninety-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 27479 54958 109916 137395 219832 274790 549580 686975 1099160 1373950 2747900 3434875 5495800 6869750 13739500 17174375 27479000 34348750 68697500 137395000