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137198050 = 25211192691
BaseRepresentation
bin10000010110101…
…11100111100010
3100120011101100021
420023113213202
5240110314200
621340344054
73254110213
oct1013274742
9316141307
10137198050
1170498a20
1239b4502a
1322568ba2
141431540a
15c0a141a
hex82d79e2

137198050 has 72 divisors (see below), whose sum is σ = 294235632. Its totient is φ = 47196000.

The previous prime is 137198027. The next prime is 137198051. The reversal of 137198050 is 50891731.

It is a happy number.

137198050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137197997 and 137198015.

It is not an unprimeable number, because it can be changed into a prime (137198051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198205 + ... + 198895.

It is an arithmetic number, because the mean of its divisors is an integer number (4086606).

Almost surely, 2137198050 is an apocalyptic number.

137198050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137198050 is an abundant number, since it is smaller than the sum of its proper divisors (157037582).

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

137198050 is a wasteful number, since it uses less digits than its factorization.

137198050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 137198050 is about 11713.1571320460. The cubic root of 137198050 is about 515.7619663078.

The spelling of 137198050 in words is "one hundred thirty-seven million, one hundred ninety-eight thousand, fifty".

Divisors: 1 2 5 10 11 19 22 25 38 50 55 95 110 190 209 275 361 418 475 550 691 722 950 1045 1382 1805 2090 3455 3610 3971 5225 6910 7601 7942 9025 10450 13129 15202 17275 18050 19855 26258 34550 38005 39710 65645 76010 99275 131290 144419 190025 198550 249451 288838 328225 380050 498902 656450 722095 1247255 1444190 2494510 2743961 3610475 5487922 6236275 7220950 12472550 13719805 27439610 68599025 137198050